Dressing the Giant Magnon

TL;DR

This paper uses the dressing method to construct new classical string solutions representing magnon scattering and bound states with multiple charges, linking them to multi-soliton configurations in sine-Gordon models.

Contribution

It introduces a novel application of the dressing method to generate multi-charge magnon solutions in string theory.

Findings

Constructed explicit multi-charge magnon solutions

Linked string solutions to multi-soliton models

Expanded understanding of magnon scattering dynamics

Abstract

We apply the dressing method to construct new classical string solutions describing various scattering and bound states of magnons. These solutions carry one, two or three SO(6) charges and correspond to multi-soliton configurations in the generalized sine-Gordon models.