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

TL;DR

This paper investigates correlation functions in the Coulomb branch of N=4 SYM using AdS/CFT, focusing on symmetry breaking, mode mixing, and the resulting correlation functions and spectrum of glueball excitations.

Contribution

It provides explicit calculations of two-point correlation functions considering mode mixing and symmetry breaking in N=4 SYM via AdS/CFT, highlighting 1/N corrections and off-diagonal correlators.

Findings

Diagonal correlation functions have 1/N conformal-like corrections.

Off-diagonal correlators are non-zero at leading order 1/N.

Discussion of the glueball excitation spectrum.

Abstract

In the present paper we study SU(N)->S(U(N/2)xU(N/2)) symmetry breaking in N=4 SYM via AdS/CFT correspondence. We consider two stacks of N/2 parallel D3 branes separated by a distance 2\vec d. In this case there is mixing between the different l-wave dilatonic KK modes. We calculate certain the two point correlation functions in the dual gauge theory. 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 non-vanishing and their leading order is 1/N. We discuss briefly the spectrum of the glueball exitations.