Tailoring Three-Point Functions and Integrability II. Weak/strong coupling match

TL;DR

This paper demonstrates a precise match between weak and strong coupling calculations of three-point functions in planar N=4 SYM, especially in the classical limit, clarifying the role of back-reaction.

Contribution

It provides a detailed analysis of three-point functions with one small operator, establishing the weak/strong coupling correspondence in the classical limit for a broad class of solutions.

Findings

Exact weak/strong coupling match in the classical limit

Clarification of back-reaction effects in three-point functions

Identification of classical solutions captured by classical computations

Abstract

We compute three-point functions of single trace operators in planar N=4 SYM. We consider the limit where one of the operators is much smaller than the other two. We find a precise match between weak and strong coupling in the Frolov-Tseytlin classical limit for a very general class of classical solutions. To achieve this match we clarify the issue of back-reaction and identify precisely which three-point functions are captured by a classical computation.