Constructing Non-Abelian Vortices with Arbitrary Gauge Groups
Minoru Eto, Toshiaki Fujimori, Sven Bjarke Gudnason, Kenichi Konishi,, Muneto Nitta, Keisuke Ohashi, Walter Vinci

TL;DR
This paper constructs general non-Abelian vortex solutions in a gauge theory with arbitrary simple gauge groups and U(1), analyzing their moduli space in a fully-Higgsed, color-flavor locked vacuum.
Contribution
It provides a comprehensive method to construct and analyze vortex solutions for arbitrary simple gauge groups in a fully-Higgsed phase.
Findings
Explicit vortex solutions for arbitrary simple gauge groups.
Determination of the vortex moduli space.
General framework applicable to various gauge theories.
Abstract
We construct the general vortex solution in the fully-Higgsed, color-flavor locked vacuum of a non-Abelian gauge theory, where the gauge group is taken to be the product of an arbitrary simple group and U(1), with a Fayet-Iliopoulos term. The vortex moduli space is determined.
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