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arXiv · hep-th/0511088

Moduli Space of Non-Abelian Vortices

Minoru Eto·Youichi Isozumi·Muneto Nitta·Keisuke Ohashi·Norisuke Sakai
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Abstract

We completely determine the moduli space M_{N,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 x CP^{N-1})^k / S_k. Orbifold singularities of this space correspond to coincident vortices and are resolved resulting in a smooth moduli manifold. Relation to Kahler quotient construction is discussed.

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Minoru Eto, Youichi Isozumi, Muneto Nitta, Keisuke Ohashi, Norisuke Sakai. 2006-05-04. Moduli Space of Non-Abelian Vortices. https://doi.org/10.1103/physrevlett.96.161601

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