Solitons with isospin

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.