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We obtain all possible solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfieldequation exactly, containing configurations made of walls, vortices andmonopoles in the Higgs phase. We use supersymmetric U(N_C) gauge theories witheight supercharges with N_F fundamental hypermultiplets in the strong couplinglimit. The moduli space for the composite solitons is found to be the space ofall holomorphic maps from a complex plane to the wall moduli space foundrecently, the deformed complex Grassmann manifold. Monopoles in the Higgs phaseare also found in U(1) gauge theory.Comment: 10 pages, 4 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

All exact solutions of a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>4</mml:mn></mml:math>Bogomol’nyi-Prasad-Sommerfield equation

All exact solutions of a1/4Bogomol’nyi-Prasad-Sommerfield equation