Solitons with Isospin

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex 36 pages

Scientific paper

10.1016/j.nuclphysb.2005.02.024

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.

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