Domain Wall in MQCD and Supersymmetric Cycles in Exceptional Holonomy Manifolds
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 1997
- DOI:
- arXiv:
- arXiv:hep-th/9710120
- Bibcode:
- 1997hep.th...10120V
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- Latex, 15 pages, improved version