Moduli space of non-abelian vortices

Minoru Eto, Youichi Isozumi, Muneto Nitta, Keisuke Ohashi, Norisuke Sakai

Research output: Contribution to journalArticlepeer-review

204 Citations (Scopus)


We completely determine the moduli space MN,k of k vortices in U(N) gauge theory with N Higgs fields in the fundamental representation. Its open subset for separated vortices is found as the symmetric product (C×CPN-1)k/Sk. Orbifold singularities of this space correspond to coincident vortices and are resolved resulting in a smooth moduli manifold. The relation to Kähler quotient construction is discussed.

Original languageEnglish
Article number161601
JournalPhysical review letters
Issue number16
Publication statusPublished - 2006
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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