Correlation functions in the Coulomb branch of N = 4 SYM from AdS / CFT correspondence

We study SU (N) → S(U (N/2) × U (N/2)) symmetry breaking in N = 4 SY M via AdS/CFT 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 KK modes when expanded in S 5 harmonics. We calculate certain two point correlation functions of the dual gauge theory in the decoupling limit d α ′ ≪ 1. Due to mode mixing, the diagonal correlation functions have 1 N conformal-like correction 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 exitations.