Non-Abelian Chern-Simons Vortices

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, 3 figures. Shortened version, published in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2007.08.036

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 N_f flavors of fundamental matter fields. The model supports non-Abelian (axially symmetric) vortices when N_f\geq N, which have internal (orientational) moduli. When N_f > N, the solutions acquire additional collective coordinates parameterizing their transverse size. We solve the BPS equations numerically and obtain local (N_f = N) and semi-local (N_f > N) string solutions.

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