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arXiv · 1207.5143

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

Minoru Eto·Toshiaki Fujimori·Muneto Nitta·Keisuke Ohashi
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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.

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Minoru Eto, Toshiaki Fujimori, Muneto Nitta, Keisuke Ohashi. 2013-07-10. All Exact Solutions of Non-Abelian Vortices from Yang-Mills Instantons. https://doi.org/10.1007/jhep07(2013)034

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