All exact solutions of non-abelian vortices from Yang-Mills instantons. (English) Zbl 1342.81279
Summary: We successfully exhaust the complete set of exact solutions of non-Abelian vortices in a quiver gauge theory, that is, the \(S[\mathrm{U}(N) \times \mathrm{U}(N)]\) gauge theory with a fundamental scalar field on a hyperbolic plane with a certain curvature, from SO(3)-invariant \(\mathrm{SU}(2N)\) 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.
MSC:
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81R12 | Groups and algebras in quantum theory and relations with integrable systems |
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