SELF-DUAL CHERN-SIMONS SOLITONS IN NONLINEAR SIGMA-MODELS

A self-dual Chem-Simons system and its Lax pair are derived from the t angent space representation of a two-dimensional nonlinear sigma-model , endowed with a gauge field. The related ''matter'' field density obe ys the Liouville equation, whose N-soliton solutions correspond to the magnetic vortices in the static self-dual planar Heisenberg model. It is shown that the topological charge and the total vorticity correspo nd to the electric charge and the magnetic flux for the Chem-Simons sy stem, respectively. General holomorphic solutions of the system studie d generate a large class of static solutions to the Davey-Stewartson a nd Ishimori equations.