A test of the AdS/CFT duality on the Coulomb branch

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. (C) 2000 Published by Elsevier Science B.V. All rights reserved.