TY - JOUR
T1 - All exact solutions of non-Abelian vortices from Yang-Mills instantons
AU - Eto, Minoru
AU - Fujimori, Toshiaki
AU - Nitta, Muneto
AU - Ohashi, Keisuke
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
KW - Gauge Symmetry
KW - Integrable Equations in Physics
KW - Solitons Monopoles and Instantons
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U2 - 10.1007/JHEP07(2013)034
DO - 10.1007/JHEP07(2013)034
M3 - Article
AN - SCOPUS:84881332368
SN - 1126-6708
VL - 2013
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 7
M1 - 34
ER -