On semiclassical calculation of three-point functions in AdS_5 \times T^(1,1)

TL;DR

This paper extends semiclassical methods for computing three-point functions to the AdS_5 imes T^(1,1) background, deriving correlators for dual gauge theory operators using AdS/CFT correspondence.

Contribution

It introduces a semiclassical approach for three-point functions in AdS_5 imes T^(1,1), applying it to simple string solutions and deriving dual gauge theory correlators.

Findings

Successful extension of semiclassical methods to T^(1,1) background

Derivation of correlation functions for dual operators

Validation of procedure with simple string solutions

Abstract

Recently there has been progress on the computation of two- and three-point correlation functions with two "heavy" states via semiclassical methods. We extend this analysis to the case of AdS_5 \times T^(1,1), and examine the suggested procedure for the case of several simple string solutions. By making use of AdS/CFT duality, we derive the relevant correlation functions of operators belonging to the dual gauge theory.