Domain Wall in MQCD and Supersymmetric Cycles in Exceptional Holonomy Manifolds
Abstract
It was conjectured by Witten that a BPSsaturated domain wall exists in the Mtheory fivebrane version of QCD (MQCD) and can be represented as a supersymmetric threecycle in the sense of Becker et al with an appropriate asymptotic behavior. We derive the differential equation which defines an associative cycle in $G_2$ holonomy sevenmanifold corresponding to the supersymmetric threecycle and show that it contains a sum of the Poisson brackets. We study solutions of the differential equation with prescribed asymptotic behavior.
 Publication:

arXiv eprints
 Pub Date:
 October 1997
 DOI:
 10.48550/arXiv.hepth/9710120
 arXiv:
 arXiv:hepth/9710120
 Bibcode:
 1997hep.th...10120V
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Latex, 15 pages, improved version