Solitons with Isospin

TL;DR

This paper investigates the symmetries and soliton solutions of T-dual integrable models related to Gepner parafermions, revealing their topological solitons with isospin and their T-duality properties.

Contribution

It introduces a new class of integrable models with solitons carrying isospin, derived from gauged SL(3)-WZW models, and analyzes their T-duality and spectrum.

Findings

Solitons carry isospin and are related to q-deformed SU(2) algebra.

Models exhibit T-duality invariance.

Semiclassical spectrum matches the soliton solutions.

Abstract

We study the symmetries of the soliton spectrum of a pair of T-dual integrable models, invariant under global $SL(2)_q\otimes U(1)$ transformations. They represent an integrable perturbation of the reduced Gepner parafermions, based on certain gauged SL(3) - WZW model. Their (semiclassical) topological soliton solutions, carrying isospin and belonging to the root of unity representations of q-deformed $SU(2)_q$ - algebra are obtained. We derive the semiclassical particle spectrum of these models, which is further used to prove their T-duality properties.