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

Research output: Contribution to journal › Article › peer-review

199 Citations (Scopus)

Abstract

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 language	English
Article number	161601
Journal	Physical review letters
Volume	96
Issue number	16
DOIs	https://doi.org/10.1103/PhysRevLett.96.161601
Publication status	Published - 2006
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1103/PhysRevLett.96.161601

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title = "Moduli space of non-abelian vortices",

abstract = "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 K{\"a}hler quotient construction is discussed.",

author = "Minoru Eto and Youichi Isozumi and Muneto Nitta and Keisuke Ohashi and Norisuke Sakai",

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AU - Eto, Minoru

AU - Isozumi, Youichi

AU - Nitta, Muneto

AU - Ohashi, Keisuke

AU - Sakai, Norisuke

PY - 2006

Y1 - 2006

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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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DO - 10.1103/PhysRevLett.96.161601

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Moduli space of non-abelian vortices

Abstract

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