Integrable Models and Topological Field Theory

摘要: The classical non-abelian pure Chern-Simons action is related to non-relativistic models in (2+ l)-dimensions, via a gauge fixing procedure in Hermitian symmetric spaces. In such models the matter fields are coupled to a residual gauge Chern-Simons field, associated with the isotropy group of the considered symmetric spaces. The connection with the completely integrable equations is discussed and the classical and quantum properties of these systems are explored.