Non-Abelian, Self-Dual Chern-Simons Vortices Coupled to Gravity
M. E. X. Guimarães, L. A. J. London
Abstract
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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