1207.5143 (Minoru Eto et al.)

All Exact Solutions of Non-Abelian Vortices from Yang-Mills Instantons    [PDF]

Minoru Eto, Toshiaki Fujimori, Muneto Nitta, Keisuke Ohashi

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.

View original: http://arxiv.org/abs/1207.5143