Three-point correlators for giant magnons

TL;DR

This paper computes three-point correlation functions in the AdS/CFT framework involving giant magnon solitons as heavy states and various light states, advancing understanding of strong-coupling dynamics.

Contribution

It introduces a semiclassical method to evaluate three-point functions with giant magnons and different light states, expanding the analysis of correlation functions in AdS/CFT.

Findings

Derived explicit expressions for three-point functions involving giant magnons.

Analyzed cases with single and multiple angular momenta for giant magnons.

Enhanced the understanding of strong-coupling correlators in AdS/CFT.

Abstract

Three-point correlation functions in the strong-coupling regime of the AdS/CFT correspondence can be analyzed within a semiclassical approximation when two of the vertex operators correspond to heavy string states having large quantum numbers while the third vertex corresponds to a light state with fixed charges. We consider the case where the heavy string states are chosen to be giant magnon solitons with either a single or two different angular momenta, for various different choices of light string states.