Domain Walls in MQCD and Monge-Ampere Equation
High Energy Physics - Theory
2009-10-31 v2
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.
Keywords
Cite
@article{arxiv.hep-th/9801166,
title = {Domain Walls in MQCD and Monge-Ampere Equation},
author = {Anastasia Volovich},
journal= {arXiv preprint arXiv:hep-th/9801166},
year = {2009}
}
Comments
Latex, 18 pages, section 4.2 modified, typos corrected