More three-point correlators of giant magnons with finite size

TL;DR

This paper calculates three-point correlation functions involving finite-size giant magnons in AdS/CFT, extending previous results to gamma-deformed backgrounds and different light operators.

Contribution

It provides new semiclassical computations of structure constants for finite-size giant magnons with various light states, including gamma-deformed backgrounds.

Findings

Computed structure constants for giant magnons with dilaton and scalar operators.

Extended results to gamma-deformed AdS_5 x S^5, related to N=1 super Yang-Mills.

Demonstrated consistency with known AdS/CFT correspondence predictions.

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 with one or two angular momenta, and for two different choices of the light state, corresponding to dilaton operator and primary scalar operator. The relevant operators in the dual gauge theory are Tr(F_{\mu\nu}^2 Z^j+...) and Tr(Z^j). We first consider the case of AdS_5 x S^5 and N = 4 super Yang-Mills. Then we extend the obtained results to the gamma-deformed AdS_5 x S^5_\gamma, dual to N = 1 super Yang-Mills theory, arising as an exactly marginal deformation of N = 4 super Yang-Mills.