Group theory of non-Abelian vortices

Minoru Eto, Toshiaki Fujimori, Sven Bjarke Gudnason, Yunguo Jiang, Kenichi Konishi, Muneto Nitta, Keisuke Ohashi

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We investigate the structure of the moduli space of multiple BPS non-Abelian vortices in U(N) gauge theory with N fundamental Higgs fields, focusing our attention on the action of the exact global (color-flavor diagonal) SU(N) symmetry on it. The moduli space of a single non-Abelian vortex, ℂPN-1, is spanned by a vector in the fundamental representation of the global SU(N) symmetry. The moduli space of winding-number k vortices is instead spanned by vectors in the direct-product representation: they decompose into the sum of irreducible representations each of which is associated with a Young tableau made of k boxes, in a way somewhat similar to the standard group composition rule of SU(N) multiplets. The Kähler potential is exactly determined in each moduli subspace, corresponding to an irreducible SU(N) orbit of the highest-weight configuration.

Original languageEnglish
Article number42
JournalJournal of High Energy Physics
Volume2010
Issue number11
DOIs
Publication statusPublished - 2010 Jan 1

Keywords

  • Confinement
  • Duality in gauge field theories
  • Nonperturbative effects
  • Solitons monopoles and instantons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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    Eto, M., Fujimori, T., Gudnason, S. B., Jiang, Y., Konishi, K., Nitta, M., & Ohashi, K. (2010). Group theory of non-Abelian vortices. Journal of High Energy Physics, 2010(11), [42]. https://doi.org/10.1007/JHEP11(2010)042