Generalized non-abelian Toda models of dyonic type

Abstract

The construction of a class of non-abelian Toda models admitting dyonic type soliton solutions was discussed. The construction of the integrable Toda models was done in terms of gauged Wess-Zumino-Witten (WZW) model. A class of relativistic invarient integrable models related to non-abelian embeddings were also classified according to a grading operator, which decomposes the lie algebra into integer graded subspaces. In the models, the WZW action describes the dynamics of a matrix field g(z,z̄) ∈ G lying in a group manifold G of a finite dimensional Lie algebra.