Leading finite-size effects on some three-point correlators in TsT-deformed AdS_5 x S^5

TL;DR

This paper calculates the leading finite-size corrections to three-point correlators involving giant magnons in a gamma-deformed AdS_5 x S^5 background, revealing effects in the dual N=1 super Yang-Mills theory.

Contribution

It provides the first detailed analysis of finite-size effects on three-point functions in TsT-deformed AdS_5 x S^5 string theory.

Findings

Finite-size effects modify structure constants in three-point correlators.

Results apply to various light states, including primary scalars and dilaton operators.

Insights into the AdS/CFT correspondence for deformed backgrounds.

Abstract

We compute the leading finite-size effects on the normalized structure constants in semiclassical three-point correlation functions of two finite-size giant magnon string states and three different types of "light" states - primary scalar operators, dilaton operator with nonzero momentum and singlet scalar operators on higher string levels. This is done for the case of TsT-transformed, or gamma-deformed, AdS_5 x S^5 string theory background, dual to N = 1 super Yang-Mills theory in four dimensions, arising as an exactly marginal deformation of N = 4 super Yang-Mills.