Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3

TL;DR

This paper calculates finite size corrections to giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3 using algebraic curve and Luscher's mu-term, including multi-magnon states.

Contribution

It introduces a method to compute leading order finite size corrections for single and multi-magnon states in the SU(2) x SU(2) sector of AdS_4 x CP^3.

Findings

Derived finite size corrections for single magnon.

Extended algebraic curve method to multi-magnon states.

Provided explicit formulas for leading order corrections.

Abstract

We use the algebraic curve and Luscher's mu-term to calculate the leading order finite size corrections to the dispersion relation of giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3. We consider a single magnon as well as one magnon in each SU(2). In addition the algebraic curve computation is generalized to give the leading order correction for an arbitrary multi-magnon state in the SU(2) x SU(2) sector.