Moduli Space of Non-Abelian Vortices

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

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classification ✦ hep-th astro-phhep-phmath.AGmath.DG

keywords modulispacevorticescoincidentcompletelyconstructioncorresponddetermine

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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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Moduli Space of Non-Abelian Vortices

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