Non-Abelian Chern-Simons vortices

We consider the bosonic sector of an N=2 supersymmetric Chern-Simons-Higgs theory in 2+1 dimensions. The gauge group is U(1)×SU(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.