Three-point correlation functions from pulsating strings in AdS$_5\times S^5$

TL;DR

This paper computes explicit three-point correlation functions involving pulsating semiclassical strings and a small quantum number operator in N=4 super-Yang--Mills theory at strong coupling, advancing understanding of AdS/CFT correspondence.

Contribution

It provides explicit examples of three-point functions with two scalar operators and a small quantum number operator in the strong coupling regime.

Findings

Explicit three-point correlators involving pulsating strings

Connections between semiclassical string states and gauge theory operators

Insights into strong coupling dynamics of N=4 SYM

Abstract

One of the most important problems in any conformal field theory is the calculation of three-point functions of primary operators. In this paper we provide explicit examples of correlators with two scalar operators in $\,{\cal N}=4$ super-Yang--Mills theory at large $N$, corresponding to pulsating semiclassical strings in AdS$_5\times S^5$, and an operator with small quantum numbers at strong coupling.