Moduli space of non-abelian vortices |
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Authors: | Eto Minoru Isozumi Youichi Nitta Muneto Ohashi Keisuke Sakai Norisuke |
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Institution: | Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan. |
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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 (CxCP(N-1))k/(see text)k. Orbifold singularities of this space correspond to coincident vortices and are resolved resulting in a smooth moduli manifold. The relation to K?hler quotient construction is discussed. |
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