Dressing the Giant Magnon II

TL;DR

This paper develops a method to construct and analyze classical string solutions representing complex interactions of dyonic giant magnons on S^5, extending previous models to include arbitrary superpositions and momenta.

Contribution

It introduces a generalized dressing method for the SU(4)/Sp(2) coset model to describe superpositions of scattering and bound states of dyonic giant magnons.

Findings

Constructed solutions for arbitrary superpositions of giant magnons.

Derived classical time delay for magnon scattering with arbitrary momenta.

Generalized previous solutions to more complex scattering scenarios.

Abstract

We extend our earlier work by demonstrating how to construct classical string solutions describing arbitrary superpositions of scattering and bound states of dyonic giant magnons on S^5 using the dressing method for the SU(4)/Sp(2) coset model. We present a particular scattering solution which generalizes solutions found in hep-th/0607009 and hep-th/0607044 to the case of arbitrary magnon momenta. We compute the classical time delay for the scattering of two dyonic magnons carrying angular momenta with arbitrary relative orientation on the S^5.