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

High Energy Physics - Theory 2010-04-30 v1

Abstract

A particular dimensional reduction of SU(2N) Yang--Mills theory on Σ×S2\Sigma \times S^2, with Σ\Sigma a Riemann surface, yields an S(U(N)×U(N))S(U(N) \times U(N)) gauge theory on Σ\Sigma, with a matrix Higgs field. The SU(2N) self-dual Yang--Mills equations reduce to Bogomolny equations for vortices on Σ\Sigma. These equations are formally integrable if Σ\Sigma is the hyperbolic plane, and we present a subclass of solutions.

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Cite

@article{arxiv.1001.5236,
  title  = {Maximally Non-Abelian Vortices from Self-dual Yang--Mills Fields},
  author = {Nicholas S. Manton and Norisuke Sakai},
  journal= {arXiv preprint arXiv:1001.5236},
  year   = {2010}
}

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11 pages