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

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

2004-05-14

arxiv.org/abs/hep-th/0405129v2

Phys.Rev. D71 (2005) 065018

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 4 figures

Scientific paper

10.1103/PhysRevD.71.065018

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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