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

Abstract

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.

11 pages

References in corpus (1)

• Non-Abelian Vortices on Riemann Surfaces: an Integrable Case

Cited by in corpus (2)

• The Moduli Space Metric for Well-Separated Non-Abelian Vortices
• Geometry and Energy of Non-abelian Vortices