Abstract
Non-Abelian BPS vortex solutions are constructed in N = 2 theories with gauge groups SO ( N ) × U ( 1 ) . The model has N f flavors of chiral multiplets in the vector representation of SO ( N ) , and we consider a color-flavor locked vacuum in which the gauge symmetry is completely broken, leaving a global SO ( N ) C + F 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 SO ( N + 2 ) → SO ( N ) × U ( 1 ) → 1 , the correspondence between non-Abelian monopoles and vortices can be established through homotopy maps and flux matching, generalizing the known results in SU ( N ) theories. We find some interesting hints about the dual (non-Abelian) transformation properties among the monopoles.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
