SELF-DUAL NON-ABELIAN VORTICES IN A $\PHI^2$ CHERN-SIMONS THEORY

Details SELF-DUAL NON-ABELIAN VORTICES IN A $\PHI^2$ CHERN-SIMONS THEORY SELF-DUAL NON-ABELIAN VORTICES IN A $\PHI^2$ CHERN-SIMONS THEORY

1995-05-18

arxiv.org/abs/hep-th/9505115v1

Phys.Lett. B359 (1995) 327-333

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Latex file, no figures

Scientific paper

10.1016/0370-2693(95)01077-4

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 $\bphi^2$ 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-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.

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