Some semiclassical structure constants for AdS_4 x CP^3

TL;DR

This paper calculates specific three-point correlation functions in AdS_4 x CP^3 using a semiclassical approach, focusing on interactions between heavy giant magnons and various light string states, advancing understanding of string interactions in this background.

Contribution

It introduces a method to compute structure constants for HHL correlators involving finite-size giant magnons and various light states in AdS_4 x CP^3.

Findings

Computed structure constants for specific HHL correlators.

Analyzed interactions involving giant magnons and scalar operators.

Extended semiclassical techniques to new string state configurations.

Abstract

We compute structure constants in three-point functions of three string states in AdS_4 x CP^3 in the framework of the semiclassical approach. We consider HHL correlation functions where two of the states are "heavy" string states of finite-size giant magnons carrying one or two angular momenta and the other one corresponds to such "light" states as dilaton operators with non-zero momentum, primary scalar operators, and singlet scalar operators with higher string levels.