2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52559We 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.10 pages, 4 figuresHigh Energy Physics - TheoryHigh Energy Physics - PhenomenologyDifferential GeometryAll Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equationtext