Giant Magnons on CP^3 by Dressing Method

TL;DR

This paper constructs classical string solutions on R x CP^3 using the dressing method, revealing giant magnon solutions with specific dispersion relations, but does not find dyonic giant magnons.

Contribution

It introduces a new application of the dressing method to find classical solutions on R x CP^3 with SU(2) symmetry, expanding understanding of string spectra in this space.

Findings

Solutions obey square-root dispersion relation

Residual SU(2) symmetry preserved

Dyonic giant magnons not found

Abstract

We consider classical string spectrum of R x CP^3, and construct a family of solutions with residual SU(2) symmetry by the dressing method on SU(4)/U(3) sigma model. All of them obey the square-root type dispersion relation, as is expected from the su(2|2) symmetry. A single dyonic giant magnon is not found in this approach.