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WASHINGTON, Jan. 24 (UPI) -- Sen. John Kerry said at a Senate hearing on his nomination as secretary of state America "will do what we must" to keep Iran from getting a nuclear weapon.
At a Senate Foreign Relations Committee hearing Thursday on Kerry's nomination to succeed outgoing Secretary of State Hillary Clinton, Kerry -- who currently serves as chairman of the committee -- told colleagues Washington has "extraordinary interests" in non-proliferation of nuclear weapons.
"The president has made it definitive. We will do what we must do to prevent Iran from obtaining a nuclear weapon," Kerry told the panel, "and I repeat here today, our policy is not containment. It is prevention, and the clock is ticking on our efforts to secure responsible compliance."
Kerry, a Massachusetts Democrat, said the administration, "working with Congress and an unprecedented international coalition, has put into place crippling sanctions on Iran. ... President Obama has stated again and again, and I want to emphasize this. He and I prefer a diplomatic resolution to this challenge, and I will work to give diplomacy every effort to succeed, but no one should mistake our resolve to reduce the nuclear threat."
Under questioning from Sen. Marco Rubio, R-Fla., who pressed for a more active U.S. role in global trouble sports, Kerry said: "We cannot afford a diplomacy that is defined by troops or drones or confrontation. We have to find a diplomacy that achieves ... understanding, rapprochement, whatever you want to call it."
Kerry rejected cutting off funding to U.N. agencies that take unilateral actions to recognize a Palestinian state, saying the United States would be more effective if it fully participates in funding.
On the Syrian civil war, Kerry said, "We need to change [Syrian leader] Bashar Assad's calculation" that he can win. "The goal ... is to effect some kind of orderly transition."
He said Obama understands the United States must keep a counter-terrorism initiative alive in Afghanistan once combat troops are removed next year, and help ensure a credible election in that country.
In a nod to the partisan divide in Washington, Kerry said, "If confirmed, I will invite all members of the committee to come together to talk about how we can have constructive dialogue in a collegiate atmosphere."
In statements before the committee Thursday, Clinton and Sen. John McCain, R-Ariz., endorsed Kerry.
"I know he will acquit himself in that office with distinction ... I commend his nomination to you without reservation," McCain told the committee.
McCain, who clashed with Clinton in her appearance before the committee Wednesday, praised Kerry at length for his efforts to normalize relations with Vietnam, though he recognized their political differences.
McCain and Kerry are decorated Vietnam veterans.
But later in questioning from the panel, McCain again asserted the U.S. public was "misled" about the attack in Benghazi.
"We still haven't gotten the answers about what happened at Benghazi.... There are some of us that won't give up on this, in spite of what some are saying in the media," he said.
Clinton, sitting next to McCain before the questioning of Kerry, told the panel: "John is the right choice to carry forward the Obama administration's foreign policy. ... He will bring a record of leadership and service that is exemplary."
Clinton was pummeled Wednesday by committee Republicans for actions before and after the Sept. 11, 2012, terror attack on the consulate in Benghazi, Libya, that killed the U.S. ambassador and three other Americans.
Kerry "is committed to doing whatever it takes to prevent other attacks and protect our people in posts around the world," Clinton said.
Kerry faced much more friendly questioning as he seeks to succeed Clinton at the State Department.
Before questions from the panel, Sen. Bob Corker, R-Tenn., ranking member on the Foreign Relations Committee, praised Kerry in his opening statement, saying, "You're ready to go. ... I think you know you're inheriting a department that is facing a number of challenges ... [in] a dangerous world."
During questioning, Corker tried to prod Kerry into criticism of former Sen. Chuck Hagel, R-Neb., who is Obama's choice to become secretary of defense. Corker pointed to Hagel's link to Global Zero, the international initiative to get rid of all nuclear weapons.
Corker didn't name Hagel, but referred to him as "this person."
Kerry said, "I believe in [nuclear] deterrence," but even past Republican secretaries of state have endorsed zero nuclear weapons as some future goal. Kerry said that goal would be far off.
But he said Hagel's stance has been distorted. "I think Sen. Hagel is realistic about it," Kerry said.
"I know Chuck Hagel and I think he is a strong patriotic former senator, and he will be a strong secretary of defense." Kerry said.
Kerry told Sen. Barbara Boxer, D-Calif., he would continue Clinton's efforts to advance women, particularly in negotiations with the Taliban in Afghanistan.
Responding to some joking references about his rooting for the Boston Red Sox and the New England Patriots, Kerry said, "If the standard here is about which teams I root for, I'm screwed."


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The Frequency of Latin Words and Their Endings wrote:This count Is based on 202,158 words in selections from over two hundred Latin authors, from Ennius to Erasmus. It yields a "recommended basic vocabulary" of 1,471 vords, arranged in groups of related words., which enable one to recognize 83.6 per cent of the words in the literature examined in this study.
Latin has a relatively small vocabulary, with less that four thousand words in general, current use. Greek has three times that number, modern English prescribes 10,000 for a college student, 50,000 for a teacher, and there are half a million words available one way or another.
Some people speak of up to 50 million words in Greek
[/url][/quote]Any one who bears in mind the bulk of Greek literature, which is at least 10 times as great [as that of Latin], its dialectical variations, its incredible wealth of forms, the obstinate persistence of the classical speech for thousands of years down to the fall of Constantinople, or, if you will, until the present day: who knows, moreover, that the editions of almost all the Greek classics are entirely unsuited for the purposes of slipping, that for many important writers no critical editions whatever exist: and who considers the state of our collections of fragments and special Lexica, will see that at the present time all the bases upon which a Greek Thesaurus could be erected are lacking.
But even if we were to assume that we possessed such editions and collections from Homer down to Nonnus, or (as Krumbacher proposed in London) down to Apostolius, and further that they had all been worked over, slipped, or excerpted by a gigantic staff of scholars, and that a great house had preserved and stored the thousands of boxes, whence would come the time, money, and power to sift these millions of slips and to bring Nous into this Chaos ? Since the proportion of Latin to Greek Literature is about 1:10, the office work of the Greek Thesaurus would occupy at least 100 scholars. At their head there would have to be a general editor, who, however, would be more of a general than an editor. And if this editorial cohort were really to perform its task punctually, and if the Association of Academies, which, as is well known, has not a penny of its own, were to raise the ten million marks necessary for the completion of (say) 120 volumes; and if scholars were to become so opulent that they could afford to purchase the Thesaurus Graecus for (say) 6,ooo marks-how could one read and use such a monstrosity?
In April 2001, the TLG® became available Online to subscribing institutions and individuals. The web version currently provides access to 3,700 authors and 12,000 works, approximately 91 million words. It is updated quarterly with new authors and works.
chad wrote:hi, i think the TLG number is a word count, not a "lemma" count, e.g. kai/ would be counted 1000s of times in that number.
edonnelly wrote:I don't know the answer for sure, but as far as Latin goes, there's a nice doctoral dissertation from Dr. Paul Diederich (1939 U. of Chicago Press) online. He wasn't addressing your question. I like it because he comes up with the 1,471 most useful words to know (and puts them in meaningful groups to help you remember), but from his dissertation comes:The Frequency of Latin Words and Their Endings wrote:This count Is based on 202,158 words in selections from over two hundred Latin authors, from Ennius to Erasmus. It yields a "recommended basic vocabulary" of 1,471 vords, arranged in groups of related words., which enable one to recognize 83.6 per cent of the words in the literature examined in this study.

subset: commoncrawl


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Delonte West a no-show for D-League team in Texas
DALLAS – Delonte West hasn't joined the Texas Legends more than two weeks after the NBA Development League team acquired his rights.
West was picked up by the affiliate of the Dallas Mavericks on Jan. 25, though Mavericks owner Mark Cuban flatly ruled out a return to the team that suspended the veteran guard twice in two weeks before waiving him in October.
Mavericks president of basketball operations Donnie Nelson, a co-owner of the Legends, says the "door is open" but he hasn't had any contact with a new agent for West.
West, who has bipolar disorder, was a valuable role player in a veteran backcourt for Dallas last season. His preseason playing time in October was limited behind younger guards Darren Collison and O.J. Mayo.


text:
Mayfaire area a hot destination for shoppers and developers alike
It was blustery and cold this mid-November day, not the perfect weather to go shopping outdoors. But Paul and Chris Sipson of Hampstead had braved the chill to come to Mayfaire Town Center.
"The stores that are here," Paul said as the wind whipped across the parking lot. "Our grandchildren like Claire's and Justice. We come for Christmas presents."
And location was a major factor, Chris said.
Location – plus upscale demographics and room for development – are making the Mayfaire area more and more attractive for not only retail businesses and shoppers, but other commercial development as well.
Local real estate experts say a critical mass is building that is making not just Mayfaire Town Center but the wide collection of businesses along Military Cutoff – Landfall Center and the Forum, for instance – the rising star of commerce in Wilmington.
Some would go further.
"It's the new downtown," said Nicholas Silivanch, vice president of retail, leasing and acquisitions at Coldwell Banker Commercial Sun Coast Partners.
To Ash Aziz, owner of Circa Restaurant Group – including Circa 1922 in historic downtown – it's the proximity to Wrightsville Beach, Landfall and summer traffic that has landed five out of six of his restaurants in the Mayfaire area.
The area has one of the highest disposable incomes in the area, he said. The affluent and gated Landfall residential development was the catalyst for much of the corridor's growth.
And his customers are within two to three miles of his businesses, Aziz said.
So a new downtown?
"I agree 100 percent," said New Hanover County Commissioner Jason Thompson, who lives just off Military Cutoff. "The tax base by itself was like a mini-city within our city."
In 2012, the ownership of Mayfaire Town Center will pay nearly $1 million in property tax on 46 parcels, said the center's director of operations, Sue Rice. Management of Independence Mall did not return a call seeking their tax payments.
It's all not to say, however, that other areas of Wilmington are losing their luster.
Downtown now has the Wilmington Convention Center and retains its large collection of boutiques, restaurants and bars. And the area near Independence Mall and along Oleander Drive, long one of the city's preeminent retail corridors, has seen an influx of new grocery stores.
"The mall is always a muscle to be flexed," said Hansen Matthews, a partner with Maus Warwick Matthews & Co. commercial real estate in Wilmington.
In fact, a look at Census Bureau statistics shows that the ZIP code containing the mall, 28403, outstrips Mayfaire's 28405 – though to be fair 28403 includes the South College Road corridor near the University of North Carolina Wilmington.
In 2010, the latest figures available, there were 2,031 business establishments in 28403, including about 400 retail businesses.
In Mayfaire's ZIP code, by comparison, there were only 1,258, including 217 retail establishments. The ZIP runs from Eastwood Road and Market Street on the south to the Ogden area to the northeast, north to Interstate 140 and west to downtown Wilmington.
Midtown and the Independence Mall area will see redevelopment, said Mayor Bill Saffo, himself a real estate broker.
The grocery stores are a good example of that, he said.
Whole Foods is in a redesigned strip center called Oleander Place, Harris Teeter has expanded within Hanover Center and Trader Joe's will open Friday on a piece of land at South College Road and Oleander Drive that has sat empty for years.
"Arguably, it is suddenly the strongest market for grocery retail," Matthews said.
There's even been development on empty land with construction of the new headquarters of Live Oak Bank near Independence and Shipyard boulevards.
Additionally, downtown's northern riverfront has key land for redevelopment – part of it at one time mentioned as the site of a minor-league baseball stadium.
But Mayfaire is the wave of the future, at least near term, real estate experts said.
Another factor on the side of Mayfaire is that Mayfaire Town Center is a so-called lifestyle center – with shops that open to the outside and sidewalks that make it appear to be a downtown. It even has a Main Street.
Retail experts said that form of shopping center is now the preferred model over traditional indoor malls.
Several businesses have locations in both Independence Mall and Mayfaire Town Center, including but not limited to Belk, Victoria's Secret, Bath & Body Works, Sunglass Hut, Reeds Jewelers and Justice.
And there's not much existing retail space left in the area, Silivanch said.
He said that over the past few months he's leased space in Mayfaire, Lumina Station and Landfall Shopping Center.
"When you consider the complete span of uses – retail, restaurant, office, hospitality," Matthews said, "the Mayfaire vicinity will continue to be the location of choice for most developers for next five to 10 years.
"Either through design or happenstance they have been able to blend all four of those commercial categories into their submarket over the last decade."
Add banking and financial services to that mix.
The Mayfaire area now sports 15 banks, Matthews said, including Bank of the Ozarks, North State, Wells Fargo, Bank of America, PNC, Crescent State Bank and BB&T.
Financial services and wealth management practices have followed. Add to that numerous real estate agencies, including the headquarters of Intracoastal Realty, Coldwell Banker Sea Coast Advantage Real Estate and Century 21 Sweyer & Associates.
The area also has several hotels ranging from mid-priced and up, Matthews said. "They've got hospitality well-covered.
"That submarket has seen more new office and upper-end office than any other area of the county and will continue to be a place where office developers want to build."
For instance, developer Steve Anderson is building three office buildings, all three stories with around 40,000 square feet each on Mayfaire Town Center land.
His Mayfaire I is filled, Mayfaire II has one small space left, and he already has serious interest from major tenants for Mayfaire III, which is in the permitting stage.
Health care companies and medical practices make up a sizable chunk of Anderson's tenants, and one prospective tenant is considering a floor and a half in Mayfaire III, Anderson said.
And about 60 percent of his Howe Creek Landing II, north of the shopping center, is occupied by medical tenants, and the same goes for 25 percent of Howe Creek Landing I. Anderson developed Howe Creek Landing and most of the medical tenants came in 2009 and 2010, he said.
Medical offices often are following the population and reflect new ways of doing business.
"We're moving away from the traditional, (where you) put in the doctor's office and wait for the patients to come," said Chris Bunch, chief operating officer of Wilmington Health.
"We're placing ourselves where the patients are – to make it easier for the patients to get in."
He added that Mayfaire is a well known, high-volume area.
"The brand 'Mayfaire' is recognized regionwide," Anderson said.
"In Charlotte and South Carolina, if you mention Wilmington, Mayfaire is going to come up."
Wayne Faulkner: 343-2329
On Twitter: @bizniznews


text:
Colon, Centreville fall, Bronson wins
The Centreville volleyball team had their season ended Monday night in the opening round of District 66 by Schoolcraft.
The Lady Bulldogs lost in three 25-20, 25-10, 25-13.
For Centreville Jenna Beeker had three digs, Charity Yeager had seven digs and one ace and Bailey May had six digs, three blocks, two kills and two aces.
Christen Kahila added five kills, eight digs and one assist, Sage Pence had nine digs and four kills, Paige Kindig recorded one dig, one block and one assist, Catherine Rigby added nine assists and four digs and Emily DeLeo had four kills, two digs and one assist.
Athens sweeps Colon
Colon's volleyball team was swept by Athens in district action Monday night.
The Lady Magi dropped the opener 25-13. In the second game Athens won 25-14.
In the third Athens picked up a 25-10 win.
Individual stats were unavailable at press time on Monday night.
Bronson beats Hillsdale in 4
Sometimes teams play better from behind.
That's what the Bronson Lady Vikings did on Monday night, as Bronson topped Hillsdale in four to open the Class C 67 District by scores of 25-13, 24-26, 25-21, 25-18.
After Bronson won the opening game in pretty convincing fashion, Hillsdale was able to harness the momentum early in the following three games. In that second game, Hillsdale got up 4-1 to open up, as the Lady Hornets quickly gained momentum. A kill by Hillsdale's Mallory Hill gave the Hornets a 10-5 lead, but Bronson came back to close within two points at 10-8.
The game stayed at this pace the rest of the way, as Hillsdale took an 18-14 lead into a Bronson timeout. The Lady Vikings scored five of the next six points to tie it up at 19-all, as Bronson clearly took back the momentum. Hillsdale stayed strong, as Jamee Thompson had a couple of key points, including the game-winner at the end, as Hillsdale won 26-24.
In the third game, Hillsdale got out quickly to a 5-1 lead as the Hornets took advantage of some Bronson mistakes. Hillsdale held on despite a Bronson surge, as Hayley Maystead got a kill down for a 6-4 lead. The game remained tight until a four hit call on Hillsdale opened the doors for Bronson to tak a 19-17 lead. Moments later, that lead turned into a 21-18 advantage, as a pair of Hillsdale miscues helped out Bronson's cause.
Moments later, both Alexa Ratkowski and Brooke O'Neill got points for Bronson to make it a 24-19 game. Hillsdale came back with kills from both Hill and Maystead making it a 24-21 game, but Bronson closed out on the next play to take a 2-1 lead in the game.
The fourth game was an even affair for the majority of the time until Bronson took an 18-16 lead after a kill from Skyler Sobeski. Both teams traded sideouts and Bronson got up 20-17 after a Hillsdale block attempt on Kylei Ratkowski went out of bounds. Bronson went on to score five of the next six points to advance on to Wednesday night.
The story of the night was Bronson's ability to recover after giving up points early.
"We have never panicked when we are behind," said Bronson coach Jean LaClair. "We almost play better from behind. We know we can do it, but sometimes that's part of the problem."
Skyler Sobeski had a nice night with 11 kills and 14 digs. Kylei Ratkowski added 11 kills, 17 digs and a block; Mallorie Bassage added five kills, two digs and a block; Kassidy Bystry had 13 digs; Emily Mayes had seven kills, two blocks and a dig; Grace Pyles had seven digs; Alexa Ratkowski added 41 assists, three kills, four digs, an ace and a block; Liz Baker had nine digs and three aces; and Lindsey Sikorski added an ace and a dig.
"That's the best Skyler has hit all season," said LaClair. "We served tough. Hillsdale's a good team, and we knew their middles could hit and we had to stop them."
Bronson faces Union City on Wednesday night in Union City at 7 p.m. following the Reading/Quincy contest at 6 p.m.
Gary Baker contributed to this report.


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From the time our children were 3-4 yrs. old we had them memorize scripture. And the one they learned to help them with their fears was Joshua 1:9 "....Be strong and courageous. Do not be terrified; do not be discouraged, for the Lord your God will be with you wherever you go."
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If your reaction to the title of this article is, "Multiple orgasms? I'm just trying to have an orgasm period," you're not alone. After all, when you're having orgasms few and far between, it's hard to even imagine having multiple orgasms.
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embedding of smooth manifolds into formal duals of R-algebras
(reduction modality infinitesimal shape modality infinitesimal flat modality)
\array{ && id &\dashv& id \ && \vee && \vee \ &\stackrel{fermionic}{}& \rightrightarrows &\dashv& \rightsquigarrow & \stackrel{bosonic}{} \ && \bot && \bot \ &\stackrel{bosonic}{} & \rightsquigarrow &\dashv& Rh & \stackrel{rheonomic}{} \ && \vee && \vee \ &\stackrel{reduced}{} & \Re &\dashv& \Im & \stackrel{infinitesimal}{} \ && \bot && \bot \ &\stackrel{infinitesimal}{}& \Im &\dashv& \& & \stackrel{\text{étale}}{} \ && \vee && \vee \ &\stackrel{cohesive}{}& ʃ &\dashv& \flat & \stackrel{discrete}{} \ && \bot && \bot \ &\stackrel{discrete}{}& \flat &\dashv& \sharp & \stackrel{continuous}{} \ && \vee && \vee \ && \emptyset &\dashv& \ast }
Models for Smooth Infinitesimal Analysis
smooth algebra (-ring)
differential equations, variational calculus
Chern-Weil theory, ∞-Chern-Weil theory
parallel transport, higher parallel transport, fiber integration in differential cohomology
Cartan geometry (super, higher)
The Kaluza-Klein mechanism, named after Theodor Kaluza and Oskar Klein, is the observation that pure gravity on a product spacetime with fixed metric on looks on , as an effective field theory, like gravity coupled to Yang-Mills theory – Einstein-Yang-Mills theory – for gauge group the Lie group of isometries of . In particular for the circle, it yields electromagnetism coupled to gravity (and a dilaton) – Einstein-Maxwell theory.
When applied to supergravity then this mechanism produces not just force fields but also fermionic matter in the resulting effective field theory, hence yields Einstein-Yang-Mills-Dirac theory, see the examples below at KK-reduction of 11d Supergravity. As such the KK-mechanism is not unlike the idea of geometrodynamics, according to which fundamentally there is only dynamical spacetime geometry in the form of gravity with all matter and other forces being special incarnations of this.
Since in general relativity also the size and shape of the fiber is dynamical, generically effective field theories arising from KK-compactification contain spurious fields parameterizing the geometry of . In the simplest case this is just the dilaton, encoding the total volume of , more generally these fields are often called the moduli fields. Since these moduli fields are not observed in experiment, naive KK-models are generically phenomenologically unviable. However, in variants of gravity such as higher dimensional supergravity there are possibilities for the moduli to obtain masses and hence for the KK-models to become viable after all. This is the problem of moduli stabilization.
More precisely, the Einstein-Hilbert action functional on pseudo-Riemannian metrics on a product spacetime
when restricted to pseudo-Riemannian metrics of the special form
where are a basis for the Killing vector fields of , is equivalently rewritten as
the first term is the EH action of on
and the second term is the action functional of Yang-Mills theory for the connection Lie algebra-valued 1-form with values in the Lie algebra of the isometry Lie group of ;
and finally the last term is regarded as a functional on the moduli space of this ansatz: the moduli space of Riemannian metrics on the fiber.
More generally, one observes that the infinitesimal transformation of metrics of the above form under diffeomorphisms generated by a Killing vector field is given on the -component as follows:
This is the infinitesimal form of a gauge transformation: an isomorphism in the groupoid of Lie algebra-valued forms. This means than every functional that is invariant under diffeomorphisms will restrict on metrics of the above form to something that looks like an action functional for a gauge theory of the gauge field .
Moreover, all this of course remains true if the product – which we may think of as the trivial -fiber bundle over – is generalized to any associated bundle with fiber , associated to a -principal bundle (hence such that ), in which case the above decomposition of the metric applies locally.
Then one finds that the KK-mechanics indeed not only reproduces gauge fields and their correct dynamics from pure gravity in higher dimensions, but also the forces which they excert on test particles. For instance the rajectory of a charged particle subject to the Lorentz force excerted by an electromagnetic field in -dimensional spacetime is in fact a geodesic in the field of pure gravity of the total space of the corresponding KK-un-compactified circle principal bundle. See (Bleecker 81) or (Bartlett 13) for a pedagogical discussion of this effect.
A pseudo-Riemannian manifold of this form for fixed moduli is called a Kaluza-Klein compactification of the spacetime . One also speaks of the effective spacetime as being obtained by dimensional reduction from the spacetime .
(Beware that the term "compactification" here is vaguely related to but rather different from the use of the term in mathematics, as in one-point compactification etc.).
Various evident generalizations of this ansatz can and are being considered.
Most notably for actual model building in physics it is of interest to consider the case where and are not necessarily constant along the fiber . Typically in applications these fields are expanded in terms of Fourier modes on . The coefficients of the higher modes appear as massive fields in the effective KK-action functional. They are called the higher Kaluza-Klein modes . These masses are inversely proportional to the metric volume of . For physical model building this volume is therefore chosen to be very small, such that it implies that the model does not predict the observation of the quanta of these massive modes in existing accelerator experiments (such as the LHC).
On the other hand, the extra moduli fields do not acquire effective masses on this way. Therefore models in plain Kaluza-Klein theory are trivially ruled out by experiment: for any choice of they predicts the observation on of these massless moduli fields, which however are not being seen in actual accelerator experiments.
Therefore if in a model for fundamental physics the Kaluza-Klein mechanism is invoked as a way to explain the existence of the standard model of particle physics in Yang-Mills theory from pure gravity, then the setup needs to be further generalized: other ingredients of the model need to be introduced that serve to equip the moduli fields with an effective potential with a positive minimum, such that these fields to acquire an effective mass on .
In physics model building the problem of constructing such a more general KK-model is called the moduli stabilization problem . (See also at landscape of string theory vacua.)
KK-compactification along trivial fibrations is closely related to forming mapping stacks: if is the moduli stack of fields] for an -dimensional field theory (see at prequantum field theory for more on this), then for a -dimensional manifold with the mapping stack
may be thought of as the moduli stack of fields for an -dimensional field theory. By the definition universal property of the mapping stack, this lower dimensional field theory is then such that a field configiuration over an -dimensional spacetime
is equivalently a field configuration of the -dimensional field theory
on the product space (the trivial -fiber bundle over ).
Traditionally KK-reduction is understood as retaining only parts of (the "0-modes" of fields on only) but of course one may consider arbitrary corrections to this picture and eventially retain the full information.
One example of KK-reduction where the full mapping stack appears is the reduction of topologically twisted N=4 D=4 super Yang-Mills theory on a complex curve as it appears in the explanation of geometric Langlands duality as a special case of S-duality (Witten 08, section 6). Here is the universal moduli stack of -principal connections (or rther that of -Higgs bundles).
The gauge group of the experimentally verified standard model of particle physics is a quotient of the product of the special unitary groups and and the circle group .
In (Witten 81) it was observed that the minimal dimension of a fiber for the KK-reduction to yield the gauge group is . This may be a meaningless numerical coincidence, but might be – and was regarded as being – remarkable: because it means that the minimum total dimension of a KK-compactification that could yield a realistic model of observed physics is . This is the uniquely specified dimensional of the maximal supergravity model: 11-dimensional supergravity.
While there are many 7-dimensional manifolds that do yield the desired gauge group of the standard model, (Witten 81) also shows that for none of them does the remaining field content of the standard model – the fermions and the Higgs field – come out correctly.
Largely due to this result, the original pure Kaluza-Klein ansatz that starts with just pure Einstein gravity with no other fields) is nowadays regarded as a non-viable to produce the standard model of particle physics. But one can further play with the idea and consider more flexible models that still exhibit the essence of KK-reduction in parts.
Notably the 11-dimensional supergravity mentioned above contains more fields than just the field of gravity. Specifically it contains the supergravity C-field which is a higher analog of the electromagnetic field. KK-reductions of 11-dimensional supergravity and of its conjectured M-theory UV-completion for instance on G2-manifold fibers turn out to be able to yield models which come at least very close to the standard model of particle physics. This we come to below, see also at duality between M-theory and type IIA string theory.
Motivation for further variants of the KK-ansatz has to a large extent come from models in string theory. During the end of the 20th and the beginning of the 21st century, the widely dominant ansatz followed in the higher energy phyisics community is to study 10-dimensional type II supergravity models KK-reduced on 6-dimensional Calabi-Yau spaces . (See also at supersymmetry and Calabi-Yau manifolds.)
The advantage of these type II models is that they naturally involve further higher gauge fields, called the B-field and the RR-field. These are modeled by cocycles in ordinary differential cohomology and in differential K-theory, respectively, which means that their field strength is an inhomogenous closed differential form of even or of odd degree. Moreover, restricted to configurations of these forms with specified cycles in the fiber , the moduli part of the KK-reduced action functional
does produce the previously missing positive potentials for proportional to these cycles of . So KK-reduction of 10-dimensional supergravities can – for a suitable ansatz – cure the old problem of moduli stabilization in KK-theory.
This means that physical model building using the specific ansatz of KK-reduction of type II supergravities on Calabi-Yau fibers reduces to a noteworthy enumerative problem in complex geometry: classify all real 6-dimensional Calabi-Yau manifolds with given isometries and given cycles.
While interesting, there are few tools known for performing this classification. The only thing that seems to be clear is that the classification is not sparse: there are many points in this space of choices. Since all this is relevant in model building in string theory, the space of these choices has been termed the landscape of string theory vacua.
For more on this see also
string theory FAQ – What does it mean to say that string theory has a "landscape" of solutions?.
…duality between M-theory and type IIA string theory…
The lift of the above reduction of type IIA supergravity on Calabi-Yau manifolds to M-theory is the KK-reduction of 11-dimensional supergravity/M-theory on G2-manifolds . The role of the B-field and RR-field is now played by the supergravity C-field, a higher gauge field in twisted ordinary differential cohomology of degree 3+1. For non-vanishing field strength ("flux") of the supergravity C-field in the 4d space this is the Freund-Rubin compactification yielding weak G2 holonomy on .
Such KK-compactification of the form M-theory on G2-manifolds turn out to yield very detailed and at least semi-realistic physics, see for instance the G2-MSSM model.
The 1-form gauge field induced by KK-compactification of M-theory on a circle is the potential of the degree-2 part of the RR-field of type IIA string theory which couples to the D0-brane.
Followed by a T-duality operations these compactifications yields type IIB superstring theory compactifications and this route is known as F-theory:
F-theory KK-compactified on elliptically fibered complex analytic fiber
|F-theory on CY2
|F-theory on CY3
|F-theory on CY4
The KK-compactification of D=10 super Yang-Mills theory to is related to what is called the BFSS matrix model. Compactification even further down to gives the IKKT matrix model.
Apart from possibly producing phenomenologically interesting models from UV-complete fundamental theories on higher dimensional spacetimes, KK-reduction generally serves to connect a wide range of quantum field theories with each other in a way that serves to illuminate their general structure and to map the moduli space of all of them.
For instance various deep but rather mysterious properties of 4-dimensional Yang-Mills theory (the central theory of the standard model of particle physics), or at least of its supersymmetric versions N=1 D=4 super Yang-Mills theory/N=2 D=4 sYM/N=4 D=4 sYM, find their natural geometric interpretation by understanding this 4d theory as the KK-compactification of the 6d (2,0)-superconformal QFT on a torus fiber. Notably the Montonen-Olive duality/S-duality of N=2 D=4 super Yang-Mills theory is the conformal transformation remnant of the compactification torus remaining of the conformal invariant of the 6d (2,0)-superconformal QFT (see there for more on this).
At the same time, the 6d (2,0)-superconformal QFT is itself related to a yet higher dimensional theory, namely to a 7d Chern-Simons theory, not by KK-reduction, but by AdS-CFT duality. But that 7d Chern-Simons theory in turn is the KK-reduction of the 11-dimensional Chern-Simons term in 11-dimensional supergravity. Hence all this structure follows again from the maximal dimensional supergravity theory (M-theory) if in addition to KK-reduction one also considers AdS-CFT-boundary relations.
In an analogous way, the supersymmetric version of 4-dimensional Yang-Mills theory with twice that supersymmetry, namely N=4 D=4 sYM, is itself directly related by AdS-CFT to type II supergravity.
And this process continues further down in dimension: N=2 D=4 super Yang-Mills theory and N=4 D=4 sYM themselves have further KK-reductions to 2-dimensional field theories. For and after passing to the topologically twisted theory, these are an A-model and a B-model topological string TCFT, respectively. Now what used to be S-duality/Montonen-Olive duality in 4d and conformal invariance in 6d and topological invariant in 7d and 11d here becomes geometric Langlands duality in 2d (see there for more on this) and produces Donaldson theory.
Hence by iteratively applying KK-reductions and other dualities and topological twists, one finds long cascades of different quantum field theories that all superficially look very different, but which thereby become closely related as different aspects of one single higher dimensional field theory. Not all of these lower dimensional theories can be phenomenological viable models, but even the superficially "unrealistic" theories such as the 6d (2,0)-superconformal QFT serve, via KK-reduction, to explain and illuminate deep properties of (semi-)realistic theories such as super Yang-Mills theory in 4d.
The following table displays parts of this cascade of field theories which are induced from 11-dimensional supergravity/M-theory under iterative KK-reduction, AdS-CFT duality and topological twists. There is another such cascade which starts instead from AdS-CFT applied to type II supergravity and then proceeds downward in dimension. This is displayed further below.
gauge theory induced via AdS-CFT correspondence
|M-theory perspective via AdS7-CFT6
|F-theory perspective
|11d supergravity/M-theory
|Kaluza-Klein compactification on
|compactificationon elliptic fibration followed by T-duality
|7-dimensional supergravity
|topological sector
|7-dimensional Chern-Simons theory
|AdS7-CFT6 holographic duality
|6d (2,0)-superconformal QFT on the M5-brane with conformal invariance
|M5-brane worldvolume theory
|KK-compactification on Riemann surface
|double dimensional reduction on M-theory/F-theory elliptic fibration
|N=2 D=4 super Yang-Mills theory with Montonen-Olive S-duality invariance; AGT correspondence
|D3-brane worldvolume theory with type IIB S-duality
|topological twist
|topologically twisted N=2 D=4 super Yang-Mills theory
|KK-compactification on Riemann surface
|A-model on , Donaldson theory
|gauge theory induced via AdS5-CFT4
|type II string theory
|Kaluza-Klein compactification on
|topological sector
|5-dimensional Chern-Simons theory
|AdS5-CFT4 holographic duality
|N=4 D=4 super Yang-Mills theory
|topological twist
|topologically twisted N=4 D=4 super Yang-Mills theory
|KK-compactification on Riemann surface
|A-model on and B-model on , geometric Langlands correspondence
Kaluza-Klein mechanism
Reviews include
D. Bailin and A. Love, Kaluza-Klein theories, Rept. Prog. Phys. 50 (1987) 1087–1170.
T. Applequist, A. Chodos and Peter Freund, Modern Kaluza-Klein Theories, Addison-Wesley Publ. Comp., (1987)
Matthias Blau, chapter 43 of Lecture notes on general relativity (web)
Luis Ibáñez, Angel Uranga, section 1.4 of String Theory and Particle Physics – An Introduction to String Phenomenology, Cambridge University Press 2012
A survey of the history of the role of the KK-mechanism in theoretical physics is
The seminal analysis of the semi-realistic KK-reductions is in
A brief discussion aimed at mathematicians of the KK-reduction of gauge fields is in
A textbook discussion in the context of supergravity is in
Andrew Strominger (notes by John Morgan), Kaluza-Klein compactifications, Supersymmetry and Calabi-Yau spaces , volume II, starting on page 1091 in
Pierre Deligne, Pavel Etingof, Dan Freed, L. Jeffrey, David Kazhdan, John Morgan, D.R. Morrison and Edward Witten, eds. , Quantum Fields and Strings, A course for mathematicians, 2 vols. Amer. Math. Soc. Providence 1999. (web version)
the mechanism is discussed around Section V.3.3., page 1186 in volume 2.
The discussion in the first order formulation of gravity is given in
A formalization of Kaluza-Klein compactification in perturbation theory formalized by factorization algebras with values in BV-complexes is in section 19 of
A textbook account of the geometry behind the Lorentz force in the Kaluza-Klein mechanism (the idea that geodesics on the gauge bundle project to curved trajectories on the base manifold) can be found in the introduction of chapter 1 and in chapters 9 and 10 of:
An expository talk of the above material from Bleecker can be found in this talk:
Some variant of KK is discussed in
Last revised on August 3, 2018 at 11:49:28. See the history of this page for a list of all contributions to it.


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OneMoreNameless wrote:^ The gold class challenges don't list a reward in their description, I'd figured they were just for the masochistic and/or return slots. Do all the gold challenges actually reward a lockerable but non-shop item or is thief gold just the exception?
Lujo wrote:Do the thief gold challenge and the boss drops it. Locker it. Figure it out. Go mad with power!
The Avatar wrote:The complicated tasks aren't going to line up too well. Honestly, I think the most efficient thing would just be going an Orc or Dwarf GG rogue ASAP and doing as few runs as possible.
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Premium Flat Hunt Breastplate with a
Running martingale attachment. Chest is adjustable for the perfect fit.
Includes strong heavy duty elastic insert on both sides to allow the breast
plate to move with your horse for greater comfort. All hardware is Nickel
Plated. Complete with snaps to connect to saddle. Leather is well oiled,
thick and supple. Available in Black, London Tan or Dark Brown Horse


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Fancy to save yourself quite a few dollars ?
This is your lucky day then.
I selected my most recent positive commercial royalty free music – perfect as background music for different projects you working on. As title suggesting this is selection of very positive and uplifting tunes:
1. Positive Commercial 2 2:30,
2. Positive Commercial 1:56,
3. Eco-Rporate 14 2:01,
4. Hope 2:22
Most compositions contains electric guitars with nice delay and echo effect, pianos, electronic and acoustic drums, acoustic guitars and mallet instruments like bells and marimbas.
Generally speaking about the mood of this compositions: it is actually very good material for commercial or business presentation, however still sweet, positive, modern and uplifting.


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Canan Akyil sweeping outside of her UNHCR tent funded by CERF in Van, Turkey, Credit: UN CERF
Central Emergency Response Fund helps provide shelter to about 20,000 people affected by the 2011 earthquake in south-east Turkey.
It is a quiet afternoon in Selimbey, one of the many deserted districts in the outskirts of Van in south-east Turkey, which is still recovering from a 7.2-magnitude earthquake that shook the city in October 2011.
Parts of Van are still deserted. But amid the ruins, some families do not have the resources to leave. Canan Akyil's family is one of them. Now in her fifties, Mrs. Akyil has spent her whole life in Van and does not plan to go anywhere—even if that means living in a tent provided by the UN High Commissioner for Refugees (UNHCR), in the middle of what used to be her garden.
Tents have appeared in gardens like Mrs. Akyil's all over the city. Some of them are funded by the UN Central Emergency Response Fund (CERF).
Today, Mrs. Akyil is happy, if slightly tired. She has finished cleaning and is watching her youngest son, Yusuf, play football in the garden. Yusuf must stay home because his school, like many others, has not reopened since it was badly damaged by the earthquake.
"He's a hard-working boy, not spoiled," Mrs. Akyil says. "But there's no homework to do. I let him play ball outside with his friends all day long."
Most of the houses in this district are no better off than the schools. A second earthquake of magnitude 5.6 hit this area two weeks after the first, further damaging buildings that were still standing.
"In the first earthquake some houses were damaged in the neighbourhood, but it wasn't so bad. But the second was devastating," Mrs. Akyil remembers. "It was a very big shock. My daughter-in-law and my baby grandson were sleeping in a room and the door was locked. We had to leave the house without taking them. Then my son went into the house, broke the door and took them out. I still tremble in fear when I remember that day."
They slept in their neighbour's tent for two days, but the baby's health deteriorated due to the cold weather. Mrs. Akyil's husband has osteoporosis and suffers badly in cold weather. They applied for a better tent and received one from UNHCR, through the Turkish Red Crescent. Mrs. Akyil furnished the tent with two couches and a television, salvaged from her house.
"This tent is easy to heat and easy to keep clean," she says. "There's even a small part in the back which I use to store kitchen utensils." Mrs. Akyil vacuums every morning and her tent is neat and tidy. All that the tent lacks, she says, is hot running water.
"There may have been an earthquake, but there's no reason why we can't live in a tidy fashion, even in a tent," says Mrs. Akyil.
CERF responds to earthquake victims
CERF is a humanitarian fund established by the UN to provide timely and reliable humanitarian assistance to those affected by natural disasters and armed conflict. In 2011, CERF provided more than US$3.4 million in funding to UN agencies to support Government earthquake relief in Turkey.
The UNHCR Representative in Turkey, Carol Batchelor, talked about the importance of CERF funding to relief efforts after the Van earthquake of October 2011. She said: "The support of CERF helped UNHCR provide family tents, blankets and sleeping mats for distribution to the most vulnerable families by the the Turkish Red Crescent and Government authorities. With this CERF-supported donation, an estimated 20,000 people affected by the earthquake have been provided [with] shelter and non-food items during the cold winter months."
Reporting by Mustafa Azizoglu/ UN CERF


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Kevin WestMinnesota Twins
Outfielder | Ht: | Wt:
|Twins | West demoted to Single-A
Wed, 24 May 2006 19:28:40 -0700
Minnesota Twins minor league OF Kevin West has been demoted to Single-A Fort Myers, from Triple-A Rochester, according to USAToday.com.
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|Twins | West Reassigned
Tue, 14 Mar 2006 20:39:41 -0800
The Seattle Post-Intelligencer reports the Minnesota Twins reassigned OF Kevin West to minor league camp Tuesday, Mar. 14.
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|Twins | West has Knee Surgery
Sun, 29 Jan 2006 16:56:20 -0800
Baseball America reports Minnesota Twins Minor League OF Kevin West (knee) will likely miss the first two months of the season after undergoing knee surgery. He suffered the injury while playing winter ball in Venezuela.
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Careers at Avenue Living
At avenue living we believe that a strong team is the foundation of everything that we do. Our team has been instrumental in our success over the past 9 years, and will continue to play an important role in determining how far and how high we can go. Over the years our close-knit group has become a family, and just like any other family we like to support, encourage, inspire and be inspired by each other.
Follow us on Facebook for the latest Career and company news!
Our mission to provide customers with homes where they can live safely, comfortably and responsibly requires great care and attention, which is why we need employees who believe in hard work, attention to detail and exceptional customer service. We want our employees to view every day as another opportunity to be leaders in our industry.
Are you a passionate and energetic individual who wants to grow with us? Are you looking for your place in an expanding company with room for advancement? And do you dream of a job that will encourage you to reach your maximum potential, or better yet exceed it? If so, we think you will fit right in with the avenue living team.


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The Brown administration has changed its mind: The special master overseeing mental health care for prison inmates isn't trying to keep things going so he can line his pockets.
The Brown administration has changed its mind: The special master overseeing mental health care for prison inmates isn't trying to keep things going so he can line his pockets.
That was the argument the state made earlier in a court filing asking to get out from under oversight of prison operations.
The state was helped to its new conclusion by a judge who gave the administration five days to withdraw what he called an unsubstantiated "smear" or face the possibility of sanctions.
So there you have it: Special master Matthew Lopes isn't trying to keep the cash spigot open.
"The state does not allege that the special master is unethical, nor does it impugn his character. But it is indisputable that in a time of extreme fiscal hardship, the state is paying large sums to the special master and his staff," state officials said in the court filing.
Read into that what you will, but know this: Special masters and their experts in the mental health lawsuit have been paid more than $48 million since a court-appointed monitor was established 17 years ago.
In the five years since he took over as special master, Lopes and his court-appointed experts have collected about half that money.
His Rhode Island law firm has five lawyers assigned to monitor California's mental health treatment, each of whom bills the state an average of at least $30,000 every month, the state said.
In the past 15 years, the state has spent about $200 million for court-appointed authorities including the special master, and for inmates' attorneys who filed a dozen lawsuits over the treatment of state prisoners, parolees and incarcerated juveniles, as well as the cost of the state defending itself.
California has doubled its spending on inmates' medical, dental and mental health care from $1.1 billion in fiscal year 2003-04 to $2.3 billion last year.
Some of that oversight resulted in last week's opening of a new prison mental health facility in Vacaville and the ongoing construction of a $900 million prison hospital in Stockton.
Gov. Jerry Brown has repeatedly complained about what he calls the "prison lobby."
Brown says, and with good reason, enough is enough.
On March 27 a judge is scheduled to consider whether it is.


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Southeast Texans have so much to choose from to see, do and participate in during any given year. Saturday, May 5, from 11 a.m. until 9 p.m., residents have an opportunity to visit the Mediterranean in a way that is both easy and fun. St. Michael's Christian Orthodox Church in Beaumont is inviting members and guests to come and take part in a cultural exchange, including food, entertainment, teaching, tours and wonderful fellowship. If you are not a student of the Orthodox Church, this is an opportunity to become better acquainted with their beliefs and traditions in a fun and enjoyable way and to make meaningful memories with your family or friends.Admission is free and everyone is invited, according to organizers of the event.
"There will be live music and Arabic and Greek dance troupes, delicious authentic Mediterranean food, drink and pastries, as well as church tours, cultural history exhibits, a shopping bazaar, and a host of children's activities," said Christine Gavrelos, event chair. Gavrelos added that there would also be a Mediterranean Marketplace featuring ethnic groceries, spices, homemade pastries, coffees, teas and china, as well as Orthodox Christian icons, books and gifts.
Guests attending the Mediterranean Fest in the past remarked that the event was one of the most educational and fun in the area. "We tasted so many new and delicious foods and were able to gain a much clearer understanding of what our friends believe and enjoy," said one who is planning to attend again this year. "The festival was simply a lot of fun, and, well, the food, what can I say? It was delicious and different in many ways."
This year's schedule is packed full of fun and adventure. Guests will want to be present for the beginning at 11 a.m. with the Blessing of the Festival and opening prayer by Fr. Michael Pavez and Deacon Elias "Habeeb" Nacol. Shortly after the prayer, the children's area will open behind the food tents. The little guests will enjoy arts and crafts and a baby animal petting zoo. At 11:10 a.m., live Greek band George and Nicholas will perform on the outside stage while other guests enjoy Middle Eastern music by George Haddad inside the church hall. At noon, a Middle Eastern dance troupe will provide entertainment inside the church hall. Be sure to stay for the tour of the beautiful church at 1 p.m. where you will be enthralled at the beauty and splendor you will view.
At 2 p.m., the entertainment begins once again with a Greek dance troupe from St. Basil Church performing inside the church hall. At 2:30 p.m., the Middle East dance troupe performs live on the outside stage. Church tours will also be available at 3, 5 and 7 p.m., as well as continuing entertainment all afternoon and early evening. (See the schedule for complete times and acts).
"We are excited about all aspects of the festival, from food to music to the activities for the little ones," said Gavrelos. "If our guests have traveled extensively, they will recognize the food is authentic. If not, they will have the opportunity to taste truly authentic dishes prepared using centuries-old recipes with great care and concern. Our food is always exceptional."
The St. Michael Syrian dinner was first served to Beaumont residents and guests in 1909 and has become an annual fundraiser for the church. The church is said to have been founded by Syrian, Lebanese and Greek immigrants in 1898, and the early traditions live on in today's culture.
The most conspicuous characteristics of Orthodoxy are its rich liturgical life and its faithfulness to the apostolic tradition. Today's Orthodox Church numbers about 300 million adherents worldwide. The word "orthodox" is defined by "right belief and right glory" in the truest sense by these believers and is comprised by groups of "autocephalous" or self-governing churches. The unity of the church is manifested in common faith and communion and sacraments.
St. Michael Orthodox Church is at 680 N. 15 St. in Beaumont at the corner of North Street and North 15th Street. See www.stmichaeltx.org [3] or call (409) 838-4951 for additional information.
Brenda Cannon Henley can be reached at (409) 781-8788 or at brendacannonhenley [at] yahoo [dot] com.
[1] http://theexaminer.com/users/brenda-cannon-henley
[2] http://theexaminer.com/sites/default/files/blog/medit5512.jpg
[3] http://www.stmichaeltx.org
[4] http://theexaminer.com/features/arts-and-culture


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Trey Clegg has traveled from Atlanta to perform at Piccolo Spoleto Festival many times before. This time he's bringing 57 of his peers.
That's the size of St. Paul's Touring Choir, which will appear for the first time in Piccolo's Festival of Churches and Synagogues program.
The choir is made up of members of St. Paul's Episcopal Church in Atlanta, the largest historically black Episcopal church in the United States. It has eight choirs, the largest of which is St. Paul's Touring Choir.
Although the touring choir is entirely black, Clegg, the choir director and organist, is white, a somewhat unusual arrangement, Clegg said.
The musical repertoire is diverse, ranging from English cathedral anthems to Gregorian chant to spirituals and gospel.
"I have always wanted to bring my own chorus to Piccolo," Clegg said. "St. Paul's is doing a very wide broad diversity of musical genres, which is not typical of the average diversity of African-American church choirs."
When Clegg became the choir director 10 years ago, there were only 18 people in it. Now there are 80. "I would like to think that the quality attracts quality," he said.
Along the way, it attracted professional singers like Ann Marie McPhail, an Atlanta Opera singer and a voice faculty member at Spelman College, who joined the choir five years ago.
"I want to help because they are so appreciative and they enjoy learning," said McPhail, who began as an occasional singer and now works with the choir as a vocal coach. "I don't know how it came to be disciplined," she said, "but right at 7 o'clock, everybody is in the church."
Some of the newer members started out as parishioners. Among them are Ernest and Venita Forde, a couple from Barbados who moved to Atlanta in 2005.
"From the first day we went to the church, we've loved what we heard," said Venita Forde, who sang in her Barbados church choir. "The music here is way above what we did in Barbados."
St. Paul's Touring Choir will perform on Sunday at 3 p.m. at St. Philip's Church, 142 Church St.
Xiaoran Ding is a Goldring Arts Journalist from Syracuse University.