All Exact Solutions of Non-Abelian Vortices from Yang-Mills Instantons
arXiv:1207.5143 · doi:10.1007/JHEP07(2013)034
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.
arXiv comment15 pages, 1 figure, v2: 17 pages, published version
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