Three-point correlators: finite-size giant magnons and singlet scalar operators on higher string levels

TL;DR

This paper calculates three-point correlation functions involving finite-size giant magnons and singlet scalar operators on higher string levels within AdS/CFT, extending results to gamma-deformed backgrounds.

Contribution

It provides the first computation of normalized structure constants for these specific three-point functions in both undeformed and gamma-deformed AdS_5xS^5 backgrounds.

Findings

Derived explicit formulas for structure constants involving giant magnons and higher-level scalar operators.

Extended the analysis to gamma-deformed backgrounds related to N=1 super Yang-Mills.

Confirmed consistency of results with known special cases.

Abstract

In the framework of the semiclassical approach, we compute the normalized structure constants in three-point correlation functions, when two of the vertex operators correspond to "heavy" string states, while the third vertex corresponds to a "light" state. This is done for the case when the "heavy" string states are finite-size giant magnons, carrying one or two angular momenta. The "light" states are taken to be singlet scalar operators on higher string levels. We first consider the case of string theory on AdS_5xS^5 dual to N = 4 super Yang-Mills. Then we extend the obtained results to the gamma-deformed AdS_5x S^5, corresponding to N = 1 super Yang-Mills theory, appearing as an exactly marginal deformation of N=4 super Yang-Mills.