Dyonic Integrable Models

TL;DR

This paper introduces a class of non-abelian affine Toda models derived from a gauged WZW model, constructing soliton solutions with electric and topological charges using the dressing method.

Contribution

It presents a new class of integrable models with explicit soliton solutions, highlighting their non-abelian structure and charge properties, expanding the understanding of affine Toda theories.

Findings

Explicit soliton solutions with electric and topological charges

Construction of solutions using dressing transformation and tau functions

Analysis of classical spectra and time delays of solitons

Abstract

A class of non abelian affine Toda models arising from the axial gauged two-loop WZW model is presented. Their zero curvature representation is constructed in terms of a graded Kac-Moody algebra. It is shown that the discrete multivacua structure of the potential together with non abelian nature of the zero grade subalgebra allows soliton solutions with non trivial electric and topological charges. The dressing transformation is employed to explicitly construct one and two soliton solutions and their bound states in terms of the tau functions. A discussion of the classical spectra of such solutions and the time delays are given in detail.