Non-Abelian vortices and monopoles in image theories Original Research Article

Non-Abelian BPS vortex solutions are constructed in image theories with gauge groups image. The model has image flavors of chiral multiplets in the vector representation of image, and we consider a color-flavor locked vacuum in which the gauge symmetry is completely broken, leaving a global image diagonal symmetry unbroken. Individual vortices break this symmetry, acquiring continuous non-Abelian orientational moduli. By embedding this model in high-energy theories with a hierarchical symmetry breaking pattern such as image, the correspondence between non-Abelian monopoles and vortices can be established through homotopy maps and flux matching, generalizing the known results in image theories. We find some interesting hints about the dual (non-Abelian) transformation properties among the monopoles.