Three-point Correlation functions of Giant magnons with finite size

TL;DR

This paper calculates three-point correlation functions involving giant magnons with finite size in the holographic framework, demonstrating exact matches with gauge theory results and exploring special limits for consistency checks.

Contribution

It provides the first semiclassical computation of three-point functions involving finite-size giant magnons and confirms their agreement with gauge theory predictions in the large coupling limit.

Findings

Semiclassical structure constants match gauge theory results.

Finite-size effects are explicitly computed and analyzed.

Comparison with Lüscher corrections validates the results in a specific limit.

Abstract

We compute holographic three-point correlation functions or structure constants of a zero-momentum dilaton operator and two (dyonic) giant magnon string states with a finite-size length in the semiclassical approximation. We show that the semiclassical structure constants match exactly with the three-point functions between two su(2) magnon single trace operators with finite size and the Lagrangian in the large 't Hooft coupling constant limit. A special limit J>>sqrt(lambda) of our result is compared with the relevant result based on the L\"uscher corrections.