Maximally Non-Abelian Vortices from Self-dual Yang--Mills Fields

Details Maximally Non-Abelian Vortices from Self-dual Yang--Mills Fields Maximally Non-Abelian Vortices from Self-dual Yang--Mills Fields

2010-01-28

arxiv.org/abs/1001.5236v1

Phys.Lett.B687:395-399,2010

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1016/j.physletb.2010.03.017

A particular dimensional reduction of SU(2N) Yang--Mills theory on $\Sigma \times S^2$, with $\Sigma$ a Riemann surface, yields an $S(U(N) \times U(N))$ gauge theory on $\Sigma$, with a matrix Higgs field. The SU(2N) self-dual Yang--Mills equations reduce to Bogomolny equations for vortices on $\Sigma$. These equations are formally integrable if $\Sigma$ is the hyperbolic plane, and we present a subclass of solutions.

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