Self-dual non-Abelian vortices in a Φ2 Chern-Simons theory

Armando Antillón, Joaquín Escalona, Gabriel Germán, Manuel Torres
1995 Physics Letters B  
We study a non-Abelian Chern-Simons gauge theory in 2+ 1 dimensions with the inclusion of an anomalous magnetic interaction. For a particular relation between the Chern-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 ^2 scalar potential, when the scalar and topological masses are equal. The corresponding vortex
more » ... s carry magnetic flux that is not quantized due to the non-toplogical nature of the solitons. However, as a consequence of the quantization of the CS term, both the electric charge and angular momentum are quantized.
doi:10.1016/0370-2693(95)01077-4 fatcat:yuniv7mt5nc6fp5iwbx6oo3l4y