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, ℂP N-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 number042
JournalJournal of High Energy Physics
Volume2010
Issue number11
DOIs
Publication statusPublished - 2010

Fingerprint

group theory
vortices
symmetry
boxes
gauge theory
fine structure
orbits
color
products
configurations

Keywords

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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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), [042]. https://doi.org/10.1007/JHEP11(2010)042

Group theory of non-Abelian vortices. / Eto, Minoru; Fujimori, Toshiaki; Gudnason, Sven Bjarke; Jiang, Yunguo; Konishi, Kenichi; Nitta, Muneto; Ohashi, Keisuke.

In: Journal of High Energy Physics, Vol. 2010, No. 11, 042, 2010.

Research output: Contribution to journalArticle

Eto, M, Fujimori, T, Gudnason, SB, Jiang, Y, Konishi, K, Nitta, M & Ohashi, K 2010, 'Group theory of non-Abelian vortices', Journal of High Energy Physics, vol. 2010, no. 11, 042. https://doi.org/10.1007/JHEP11(2010)042
Eto, Minoru ; Fujimori, Toshiaki ; Gudnason, Sven Bjarke ; Jiang, Yunguo ; Konishi, Kenichi ; Nitta, Muneto ; Ohashi, Keisuke. / Group theory of non-Abelian vortices. In: Journal of High Energy Physics. 2010 ; Vol. 2010, No. 11.
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