Non-Abelian, self-dual Chern-Simons vortices coupled to gravity.

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.