All exact solutions of non-Abelian vortices from Yang-Mills instantons

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作者
Minoru Eto
Toshiaki Fujimori
Muneto Nitta
Keisuke Ohashi
机构
[1] Yamagata University,Department of Physics
[2] National Taiwan University,Department of Physics
[3] Keio University,Department of Physics, and Research and Education Center for Natural Sciences
[4] Osaka City University,Department of Mathematics and Physics, Graduate School of Science
关键词
Solitons Monopoles and Instantons; Integrable Equations in Physics; Gauge Symmetry;
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摘要
We successfully exhaust the complete set of exact solutions of non-Abelian vortices in a quiver gauge theory, that is, the S[U(N) × U(N)] gauge theory with a bifudamental 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 nonAbelian 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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