Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: SELF-DUAL NON-ABELIAN VORTICES IN A $\PHI^2$ CHERN-SIMONS THEORY   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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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: econ