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

2004/05/16 by Youichi Isozumi, Muneto Nitta, Keisuke Ohashi +1 · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Nonlinear Waves and Solitons #hep-ph #hep-th #math.DG

paper · pdf · doi:10.1103/physrevd.71.065018

published as Phys.Rev. D71 (2005) 065018 · 10 pages, 4 figures

arxiv created 2004/05/16 · openalex publication_date 2005/03/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study a 1/4 Bogomol'nyi-Prasad-Sommerfield equation containing configurations made of walls, vortices, and monopoles in the Higgs phase, using the supersymmetric U(N_C) gauge theories with eight supercharges with N_F fundamental hypermultiplets. We find the total moduli space to be the quotient of the space of holomorphic maps from the complex plane to the N_C\ifmmode×\else\texttimes\fiN_F matrix divided by the space of the holomorphic maps to GL(N_C,C). We obtain all possible solutions exactly in the strong coupling limit where the moduli space reduces to 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.

Citations

• Construction of Non-Abelian Walls and their Complete Moduli Space

Cited by

• Non-Abelian walls in supersymmetric gauge theories
• TASI Lectures on Solitons
• Chiral non-Abelian domain walls in the Ginzburg-Landau theory
• Massless monopole-string-domain wall fermions and polyhedral vacuum fermions

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