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

作者：Eto Minoru^*; Fujimori Toshiaki; Nitta Muneto; Ohashi Keisuke

来源：The Journal of High Energy Physics, 2013, 2013(7): 034.

DOI：10.1007/JHEP07(2013)034

• Solitons Monopoles and Instantons
• Integrable Equations in Physics
• Gauge Symmetry

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.

• 出版日期2013-7