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

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Cited by in corpus (14)

• Integrable vortex-type equations on the two-sphere
• The Moduli Space Metric for Well-Separated Non-Abelian Vortices
• Vortex counting from field theory
• Geometry and Energy of Non-abelian Vortices
• Vortices on Orbifolds
• Higgs and Coulomb Branch Descriptions of the Volume of the Vortex Moduli Space
• All Exact Solutions of Non-Abelian Vortices from Yang-Mills Instantons
• Moduli space volume of vortex and localization
• BPS Boojums in N=2 supersymmetric gauge theories I
• Instantons in Lifshitz Field Theories
• BPS Boojums in N=2 supersymmetric gauge theories II
• Non-abelian vortices on CP^1 and Grassmannians
• Equivariance on Discrete Space and Yang-Mills-Higgs Model
• Moduli Space Dynamics of Noncommutative U(2) Instantons