Non-Abelian, Self-Dual Chern-Simons Vortices Coupled to Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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21 pages, LATEX, no figures

Scientific paper

10.1103/PhysRevD.52.6057

In this article we consider $SU(2)$ Chern-Simons/Higgs theory coupled to
gravity in three-dimensions. It is shown that for a cylindrically symmetric
vortex both the Einstein equations and the field equations can be reduced to a
set of first-order Bogomol'nyi equations provided that we choose a specific
eighth-order potential.

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