Correlation functions of three heavy operators - the AdS contribution

TL;DR

This paper calculates the universal AdS contribution to three-point correlation functions of heavy operators in N=4 SYM, revealing a factorization related to their anomalous dimensions at strong coupling.

Contribution

It explicitly evaluates the AdS universal factor of OPE coefficients in terms of anomalous dimensions, advancing understanding of correlation functions in AdS/CFT.

Findings

Universal AdS contribution expressed via anomalous dimensions

Factorization of three-point functions into AdS and S^5 parts

Explicit formula for OPE coefficients at strong coupling

Abstract

We consider operators in N=4 SYM theory which are dual, at strong coupling, to classical strings rotating in S^5. Three point correlation functions of such operators factorize into a universal contribution coming from the AdS part of the string sigma model and a state-dependent S^5 contribution. Consequently a similar factorization arises for the OPE coefficients. In this paper we evaluate the AdS universal factor of the OPE coefficients which is explicitly expressed just in terms of the anomalous dimensions of the three operators.