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

TL;DR

This paper tests the AdS/CFT duality by analyzing the Coulomb branch of N=4 Super Yang Mills theory, showing that the effective action deformation matches gravity predictions and confirming the duality's consistency.

Contribution

It provides a detailed comparison between field theory calculations and gravity predictions for the Coulomb branch, including the matching of numerical factors.

Findings

Effective action deformation by a dimension 8 operator near IR fixed points

Agreement of two-point function corrections with gravity predictions

Validation of 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.