Three-point correlators: Examples from Lunin-Maldacena background

TL;DR

This paper extends semiclassical methods for calculating three-point functions to the Lunin-Maldacena background, deriving correlation functions in the dual N=1 superconformal gauge theory and confirming key relations between operator dimensions and structure constants.

Contribution

It applies and tests semiclassical techniques for three-point correlators in a new background, providing explicit calculations and validation within the Lunin-Maldacena setting.

Findings

Derived correlation functions for operators in N=1 superconformal gauge theory.

Confirmed relation between heavy state dimensions and structure constants.

Extended semiclassical analysis to Lunin-Maldacena background.

Abstract

Recently there has been progress on the calculation of three-point functions with two "heavy" operators via semiclassical methods. We extend this analysis to the case of the Lunin-Maldacena background, and examine the suggested procedure for several simple string solutions. By making use of AdS/CFT duality, we derive the relevant correlation functions of operators belonging to the dual N=1 superconformal gauge theory, and recover an important relation connecting the dimensions of "heavy" states and the structure constants.