A Test of the AdS/CFT Duality on the Coulomb Branch

Abstract

We consider the N=4 SU(N) Super Yang Mills theory on the Coulomb branch with gauge symmetry broken to S(U(N_1) x U(N_2)). By integrating the W particles, the effective action near the IR SU(N_i) conformal fixed points is seen to be a deformation of the Super Yang Mills theory by a non-renormalized, irrelevant, dimension 8 operator. The correction to the two-point function of the dilaton field dual operator near the IR is related to a three-point function of chiral primary operators at the conformal fixed points and agrees with the classical gravity prediction, including the numerical factor.

12 pages, 1 figure, Latex; Minor changes and references added, version that will appear in Phys. Lett. B

References in corpus (1)

• Non-conformal examples of AdS/CFT

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