Solitons with isospin

Abstract

We study the symmetries of the soliton spectrum of a pair of T-dual integrable models, invariant under global SL ( 2 ) q ⊗ 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.