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arXiv · 1001.5236

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

Nicholas S. Manton·Norisuke Sakai
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Abstract

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

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Nicholas S. Manton, Norisuke Sakai. 2010-01-28. Maximally Non-Abelian Vortices from Self-dual Yang--Mills Fields. https://doi.org/10.1016/j.physletb.2010.03.017

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