1998/01/31 by Anastasia Volovich
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Domain (mathematical analysis) #Domain wall (magnetism) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holonomy #Invariant (physics) #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #hep-th
paper · pdf · doi:10.1103/physrevd.59.065005
published as Phys.Rev. D59 (1999) 065005 · Latex, 18 pages, section 4.2 modified, typos corrected
arxiv created 1998/03/10 · openalex publication_date 1999/02/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study Witten's proposal that a domain wall exists in an M-theory fivebrane version of QCD (MQCD) and that it can be represented as a supersymmetric three-cycle in a G2 holonomy manifold. It is shown that equations defining the U(1) invariant domain wall for an SU(2) group can be reduced to the Monge-Amp\`ere equation. A proof of an algebraic formula of Kaplunovsky, Sonnenschein, and Yankielowicz is presented. The formal solution of equations for domain wall is constructed.