Domain Walls, Hitchin's Flow Equations and G2-Manifolds
Abstract
We construct BPS domain wall solutions of the effective action of type-IIA string theory compactified on a half-flat six-manifold. The flow equations for the vector and hypermultiplet scalars are shown to be equivalent to Hitchin's flow equations, implying that our domain walls can be lifted to solutions of ten-dimensional type-IIA supergravity. They take the form R1,2 x Y7, where Y7 is a G2-holonomy manifold with boundaries.
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