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

Abstract

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.

14 pages, Latex file, no figures

References in corpus (2)

• Bogomol'nyi equations for solitons in Maxwell-Chern-Simons gauge theories with the magnetic moment interaction term
• SEMILOCAL NONTOPOLOGICAL SOLITONS IN A CHERN-SIMONS THEORY.

Cited by in corpus (5)

• Exact Self-dual Soliton Solutions in a Gauged O(3) Sigma Model with Anomalous Magnetic Moment Interaction
• Vortices in Maxwell-Chern-Simons-Higgs models with nonminimal coupling
• Vortex Solutions of Nonrelativistic Fermion and Scalar Field Theories Coupled to Maxwell-Chern-Simons theories
• Vortex in Maxwell-Chern-Simons models coupled to external backgrounds
• Vortex Solutions of Four-fermion Theory coupled to a Yang-Mills-Chern-Simons Gauge Field