Finite-Size Effects for Dyonic Giant Magnons

TL;DR

This paper calculates finite-size corrections for dyonic giant magnons using two methods and finds agreement, enabling predictions of corrections at all coupling orders.

Contribution

It introduces a novel comparison of asymptotic string behavior with Luscher formula applications for boundstates, advancing understanding of finite-size effects.

Findings

Agreement between two correction calculation methods

Prediction of finite-size corrections to all orders in coupling

Enhanced understanding of dyonic giant magnons' finite-size effects

Abstract

We compute finite-size corrections to dyonic giant magnons in two ways. One is by examining the asymptotic behavior of helical strings of hep-th/0609026 as elliptic modulus k goes to unity, and the other is by applying the generalized Luscher formula for mu-term of arXiv:0708.2208 to the situation in which incoming particles are boundstates. By careful choice of poles in the su(2|2)^2-invariant S-matrix, we find agreement of the two results, which makes possible to predict the (leading) finite-size correction for dyonic giant magnons to all orders in the 't Hooft coupling.