Moduli Space of Non-Abelian Vortices

Details Moduli Space of Non-Abelian Vortices Moduli Space of Non-Abelian Vortices

2005-11-08

arxiv.org/abs/hep-th/0511088v3

Phys.Rev.Lett.96:161601,2006

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures, references added, v3: typos corrected, references added, the final version in PRL

Scientific paper

10.1103/PhysRevLett.96.161601

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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