On semiclassical calculation of three-point functions in AdS_4 x CP^3

TL;DR

This paper extends semiclassical methods for calculating three-point functions to the AdS_4 x CP^3 background, deriving correlators for operators in the dual N=6 Chern-Simons theory, thus advancing holographic computations.

Contribution

It introduces a method to compute three-point functions in AdS_4 x CP^3, applying semiclassical techniques to new string solutions and deriving dual gauge theory correlators.

Findings

Extended semiclassical analysis to AdS_4 x CP^3

Derived three-point functions for specific string solutions

Connected string theory results with N=6 Chern-Simons gauge theory

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_4 x CP^3, 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 N=6 Chern-Simons gauge theory.