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 , with a Riemann surface, yields an gauge theory on , with a matrix Higgs field. The SU(2N) self-dual Yang--Mills equations reduce to Bogomolny equations for vortices on . These equations are formally integrable if is the hyperbolic plane, and we present a subclass of solutions.
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}
}
Comments
11 pages