Domain Wall in MQCD and Supersymmetric Cycles in Exceptional Holonomy Manifolds

Details Domain Wall in MQCD and Supersymmetric Cycles in Exceptional Holonomy Manifolds Domain Wall in MQCD and Supersymmetric Cycles in Exceptional Holonomy Manifolds

1997-10-15

arxiv.org/abs/hep-th/9710120v2

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 15 pages, improved version

Scientific paper

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 $G_2$ 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.

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