Domain Walls in MQCD and Monge-Ampère Equation
نویسنده
چکیده
We study Witten’s proposal that a domain wall exists in M-theory fivebrane version of QCD (MQCD) and that it can be represented as a supersymmetric three-cycle in G2 holonomy manifold. It is shown that equations defining the U(1) invariant domain wall for SU(2) group can be reduced to the Monge-Ampère equation. A proof of an algebraic formula of Kaplunovsky, Sonnenschein and Yankielowicz is presented. The formal solution of equations for domain wall is constructed. On leave from Moscow State University and L. D. Landau Institute for Theoretical Physics, Moscow, Russia.
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