On the semiclassical 3-point function in AdS_3

TL;DR

This paper develops a new method to compute the semiclassical 3-point function in Euclidean AdS_3 using classical KZ equations, confirming the heavy charge limit and offering an alternative to existing approaches.

Contribution

It introduces a novel derivation of the semiclassical 3-point function in AdS_3 based on affine symmetry and classical KZ solutions, differing from previous Pohlmeyer reduction methods.

Findings

Reproduces the heavy charge classical limit of the quantum 3-point correlator

Provides an alternative derivation using classical KZ equations

Highlights differences from Pohlmeyer reduction approach

Abstract

We reconsider the problem of determining the semiclassical 3-point function in the Euclidean AdS_3 model. Exploiting the affine symmetry of the model we use solutions of the classical Knizhnik-Zamolodchikov (KZ) equation to compute the saddle point of the action in the presence of three vertex operators. This alternative derivation reproduces the "heavy charge" classical limit of the quantum 3-point correlator. It is different from the recently proposed expression obtained by generalised Pohlmeyer reduction in AdS_2