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

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.

10 pages, 4 figures

References in corpus (2)

• Construction of Non-Abelian Walls and Their Complete Moduli Space
• Non-Abelian Walls in Supersymmetric Gauge Theories

Cited by in corpus (9)

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• TASI Lectures on Solitons
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• D-brane Construction for Non-Abelian Walls
• Skyrmions from Instantons inside Domain Walls
• Webs of Walls
• Global Structure of Moduli Space for BPS Walls
• Non-BPS Brane Dynamics And Dual Tensor Gauge Theory
• Solitons in Supersymmetric Gauge Theories