SELF-DUAL NON-ABELIAN VORTICES IN A PHI(2) CHERN-SIMONS THEORY

Abstract

We study a non-Abelian Chem-Simons gauge theory in 2 + 1 dimensions with the inclusion of an anomalous magnetic interaction. For a particular relation between the Chem-Simons (CS) mass and the anomalous magnetic coupling the equations for the gauge fields reduce from second- to first-order differential equations of the pure CS type. We derive the Bogomol'nyi-type or self-dual equations for a Phi(2) scalar potential, when the scalar and topological masses are equal. The corresponding vortex solutions carry magnetic flux that is not quantized due to the non-topological nature of the solitons. However, as a consequence of the quantization of the CS term, both the electric charge and angular momentum are quantized.