Three-point Correlation Function of Giant Magnons in the Lunin-Maldacena background

TL;DR

This paper calculates the three-point correlation function involving giant magnons and a dilaton mode in a deformed AdS/CFT background, extending known relations from N=4 SYM to the b gamma-deformed case.

Contribution

It provides the first semiclassical computation of the structure constant in the Lunin-Maldacena background and confirms the relation between structure constant and conformal dimension in this setting.

Findings

Confirmed the relation between structure constant and conformal dimension in the b gamma-deformed background.

Computed the three-point correlation function involving finite-size giant magnons and a dilaton mode.

Extended the applicability of known AdS/CFT relations to deformed backgrounds.

Abstract

We compute semiclassical three-point correlation function, or structure constant, of two finite-size (dyonic) giant magnon string states and a light dilaton mode in the Lunin-Maldacena background, which is the \gamma-deformed, or TsT-transformed AdS_5 x S_{\gamma}^5, dual to N = 1 super Yang-Mills theory. We also prove that an important relation between the structure constant and the conformal dimension, checked for the N = 4 super Yang-Mills case, still holds for the \gamma-deformed string background.