Correlation functions in the Coulomb branch of N=4 super Yang-Mills theory from AdS-CFT correspondence

We study SU(N)→S[U(N/2)×U(N/2)] symmetry breaking in N=4 SYM via anti–de Sitter–conformal field theory correspondence. Two stacks of N/2 parallel D3 branes are separated by a distance 2d in the transverse directions. This leads to an interaction between different l-wave dilatonic Kaluza-Klein modes when expanded in S⁵ harmonics. We calculate certain two-point correlation functions of the dual gauge theory in the decoupling limit d/α^′≪1. Because of mode mixing, the diagonal correlation functions have 1/N conformal-like corrections as well as deformation terms. The off-diagonal correlators are also nonvanishing and their leading order is 1/N. We discuss briefly the spectrum of the glueball excitations.