Non-Abelian Chern-Simons Vortices
Abstract
We consider the bosonic sector of a N=2 supersymmetric Chern-Simons-Higgs theory in 2+1 dimensions. The gauge group is U(1)xU(N) and has Nf flavors of fundamental matter fields. The model supports non-Abelian (axially symmetric) vortices when Nf≥ N, which have internal (orientational) moduli. When Nf > N, the solutions acquire additional collective coordinates parameterizing their transverse size. We solve the BPS equations numerically and obtain local (Nf = N) and semi-local (Nf > N) string solutions.
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