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Domain walls in MQCD and the Monge-Ampère equation
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 ${G}_{2}$ holonomy manifold. It is shown that equations defining the U(1) invariant domain wall for an SU(2) group can be reduced …