Domain Walls in MQCD and Monge-Ampere Equation

Details Domain Walls in MQCD and Monge-Ampere Equation Domain Walls in MQCD and Monge-Ampere Equation

1998-01-25

arxiv.org/abs/hep-th/9801166v2

Phys.Rev. D59 (1999) 065005

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 18 pages, section 4.2 modified, typos corrected

Scientific paper

10.1103/PhysRevD.59.065005

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.

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