Group theory of non-Abelian vortices

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

研究成果: Article査読

15 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号42
ジャーナルJournal of High Energy Physics
2010
11
DOI
出版ステータスPublished - 2010

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学

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