A note on correlation functions in AdS_5/SYM_4 correspondence on the Coulomb branch

TL;DR

This paper calculates specific two-point functions in N=4 SYM theory on the Coulomb branch using holographic duality, revealing an infinite set of poles at particular mass scales related to the Higgs mechanism.

Contribution

It provides a novel computation of two-point functions on the Coulomb branch using supergravity/SYM duality, highlighting the structure of poles at Higgs-scale masses.

Findings

Identification of an infinite set of poles in two-point functions

Poles occur at masses proportional to the Higgs scale divided by g_YM√N

Results enhance understanding of Coulomb branch dynamics in AdS/CFT

Abstract

We compute certain two-point functions in D=4, ${\cal N}=4$, SU(N) SYM theory on the Coulomb branch using SUGRA/SYM duality and find an infinite set of first order poles at masses of order $({\rm Higgs~scale})/(g_{YM} \sqrt{N})$.