Finite size effect on the magnon's correlation functions

TL;DR

This paper investigates how finite size effects influence the three-point correlation functions involving giant magnons and marginal operators, confirming consistency between string theory calculations and gauge theory analysis.

Contribution

It provides a detailed calculation of finite size corrections to correlation functions and verifies the matching of structure constants between string theory and gauge theory.

Findings

Finite size corrections to three-point functions are explicitly computed.

The structure constant matches between string and gauge theory calculations.

The results support the consistency of the AdS/CFT correspondence in finite size regimes.

Abstract

We calculate the finite size correction on the three-point correlation function between two giant magnons and one marginal operator. We also check that the structure constant in the string set-up is exactly the same as one of the RG analysis in the gauge theory.