Moduli space of non-abelian vortices

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

doi:10.1103/PhysRevLett.96.161601

Moduli space of non-abelian vortices

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

研究成果: Article › 査読

199 被引用数 (Scopus)

抄録

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.

本文言語	English
論文番号	161601
ジャーナル	Physical review letters
巻	96
号	16
DOI	https://doi.org/10.1103/PhysRevLett.96.161601
出版ステータス	Published - 2006
外部発表	はい

ASJC Scopus subject areas

物理学および天文学（全般）

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10.1103/PhysRevLett.96.161601

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AU - Isozumi, Youichi

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AU - Sakai, Norisuke

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AB - 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.

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Moduli space of non-abelian vortices

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