Finite-size Effect of the Dyonic Giant Magnons in N=6 super Chern-Simons Theory

TL;DR

This paper investigates finite-size effects of dyonic giant magnons in N=6 super Chern-Simons theory using Luscher mu-term formula, confirming results with classical string theory calculations.

Contribution

It applies Luscher mu-term formula to compute finite-size effects for dyonic giant magnons in AdS_4 x CP^3, matching classical string theory results.

Findings

Explicit finite-size correction computed for symmetric configurations.

Results from Luscher formula match classical string theory calculations.

Provides validation for the integrability-based approach in this context.

Abstract

We consider finite-size effects for the dyonic giant magnon of the type IIA string theory on AdS_4 x CP^3 by applying Luscher mu-term formula which is derived from a recently proposed S-matrix for the N=6 super Chern-Simons theory. We compute explicitly the effect for the case of a symmetric configuration where the two external bound states, each of A and B particles, have the same momentum p and spin J_2. We compare this with the classical string theory result which we computed by reducing it to the Neumann-Rosochatius system. The two results match perfectly.