Domain Walls in MQCD and Monge-Ampere Equation
arXiv:hep-th/9801166 · doi:10.1103/PhysRevD.59.065005
Abstract
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 G_2 holonomy manifold. It is shown that equations defining the U(1) invariant domain wall for SU(2) group can be reduced to the Monge-Ampere equation. A proof of an algebraic formula of Kaplunovsky, Sonnenschein and Yankielowicz is presented. The formal solution of equations for domain wall is constructed.
Latex, 18 pages, section 4.2 modified, typos corrected
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- Supersymmetry of Noncompact MQCD-like Membrane Instantons and Heat Kernel Asymptotics
- M-Branes on Minimal Surfaces