1997/10/15 by Anastasia Volovich, Volovich, Anastasia · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9710120
Latex, 15 pages, improved version
arxiv created 1997/12/16 · arxiv updated 2009/11/30
It was conjectured by Witten that a BPS-saturated domain wall exists in the M-theory fivebrane version of QCD (MQCD) and can be represented as a supersymmetric three-cycle in the sense of Becker et al with an appropriate asymptotic behavior. We derive the differential equation which defines an associative cycle in G2 holonomy seven-manifold corresponding to the supersymmetric three-cycle and show that it contains a sum of the Poisson brackets. We study solutions of the differential equation with prescribed asymptotic behavior.