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All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation

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

We obtain all possible solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield equation exactly, containing configurations made of walls, vortices and monopoles in the Higgs phase. We use supersymmetric U(N_C) gauge theories with eight supercharges with N_F fundamental hypermultiplets in the strong coupling limit. The moduli space for the composite solitons is found to be the space of all holomorphic maps from a complex plane to the wall moduli space found recently, the deformed complex Grassmann manifold. Monopoles in the Higgs phase are also found in U(1) gauge theory.

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Youichi Isozumi, Muneto Nitta, Keisuke Ohashi, Norisuke Sakai. 2004-05-16. All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation. https://doi.org/10.1103/physrevd.71.065018

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