The dilaton and four-form are There are formally two free parameters, R and b , since The metric (4.1) has a singularity at ω 4 = b $^{4}$; we loosely expect this to correspond to the presence of the central stack of D3 branes [69]. The dilaton and five-form field strength are a function of r , and in the UV limit ( r → ∞ ) the geometry returns to AdS$_{5}$ × S $^{5}$. However, due to the dependence on r , the interior of the field theory is strongly deformed. The set of solutions are described by two dimensionful parameters, b and R . However, by looking at (4.1) we can see that if b = 0, then the solution returns to AdS$_{5}$ × S $^{5}$, with radius R . Hence b determines the scale of the conformal symmetry breaking. We can identify b ’s holographic partner explicitly by looking at the form of the dilaton in the UV limit ( r → ∞ ): A has scaling dimension 4 and is a singlet under the 5-sphere isometry. Therefore it must correspond to an operator of dimension 4 which is an R-singlet. There is only one candidate (as pointed out in section 2.7, we are guaranteed to have such a unique candidate). It must be 〈 Tr F $^{2}$〉 . This deformation completely breaks the supersymmetry of the gauge theory (ie. from N = 4 to N = 0). In addition, a complex VEV does not make 59 e 2 φ = e 2 φ 0 f $^{Δ}$, C (4) = − 1 4 $_{H}$− $^{1}$dt ∧ dx ∧ dy ∧ dz (4.3) δ = R $^{4}$/ 2 b $^{4}$, Δ 2 = 10 − δ 2 (4.4) e φ ∼ e φ 0 ( 1 + √$_{40}$$_{b}$ 8 − R 8 2 r 4 ) ≡ e φ 0 A r 4 ) (4.5)