Studies of Model Systems in Statistical Mechanics and       Quantum Field Theory
{'Code': '03070005', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMR', 'LongName': 'Division Of Materials Research'}}
{'SignBlockName': 'G. Bruce Taggart', 'PO_EMAI': None, 'PO_PHON': None}
The investigations into the statistical mechanics and quantum                   field theory of systems with an infinite number of degrees of                   freedom will be continued.  In the past year a major discovery in               statistical mechanics was made by finding that many of the N                    state chiral Potts models used in the study of commensurate                     incommensurate phase transitions are solvable in the sense of                   possessing a one parameter family of commuting transfer matrices,               and that these transfer matrices are parametrized by curves of                  genus greater than one.  Such models, based on higher genus                     curves, have been searched for over fifteen years and their                     discovery opens new areas of research both in solid state physics               and in the related area of algebraic geometry.  During the course               of this award studies will be made of the free energy and                       excitation spectrum of these models and their correlation                       functions, particularly in their connection with conformal field                theory.  They will also continue to search for more models based                on curves of genus higher than one and to investigated whether                  such models can be found in three dimensions.  Investigations of                the relation between these new models, the methods of deformation               theory, and possibly string theories will be made.
{'FirstName': 'Barry', 'LastName': 'McCoy', 'PI_MID_INIT': 'M', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Barry M McCoy', 'EmailAddress': 'mccoy@inst.physics.sunysb.edu', 'NSF_ID': '000422622', 'StartDate': '09/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'SUNY at Stony Brook', 'CityName': 'STONY BROOK', 'ZipCode': '117940001', 'PhoneNumber': '6316329949', 'StreetAddress': 'W5510 FRANKS MELVILLE MEMORIAL L', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY', 'CONGRESSDISTRICT': '01', 'CONGRESS_DISTRICT_ORG': 'NY01', 'ORG_UEI_NUM': 'M746VC6XMNH9', 'ORG_LGL_BUS_NAME': 'THE RESEARCH FOUNDATION FOR THE STATE UNIVERSITY OF NEW YORK', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1765', 'Text': 'CONDENSED MATTER & MAT THEORY'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8803678.xml'}