All Exact Solutions of Non-Abelian Vortices from Yang-Mills Instantons
High Energy Physics - Theory
2013-07-11 v2 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
We successfully exhaust the complete set of exact solutions of non-Abelian vortices in a quiver gauge theory, that is, the S[U(N) x U(N)] gauge theory with a bi-fudamental scalar field on a hyperbolic plane with a certain curvature, from SO(3)-invariant SU(2N) Yang-Mills instanton solutions. This work provides, for the first time, exact non-Abelian vortex solutions. We establish the ADHM construction for non-Abelian vortices and identify all the moduli parameters and the complete moduli space.
Keywords
Cite
@article{arxiv.1207.5143,
title = {All Exact Solutions of Non-Abelian Vortices from Yang-Mills Instantons},
author = {Minoru Eto and Toshiaki Fujimori and Muneto Nitta and Keisuke Ohashi},
journal= {arXiv preprint arXiv:1207.5143},
year = {2013}
}
Comments
15 pages, 1 figure, v2: 17 pages, published version