Domain Walls, Hitchin's Flow Equations and G_2-Manifolds
High Energy Physics - Theory
2016-09-06 v2
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 R^{1,2} x Y_7, where Y_7 is a G_2-holonomy manifold with boundaries.
Keywords
Cite
@article{arxiv.hep-th/0407198,
title = {Domain Walls, Hitchin's Flow Equations and G_2-Manifolds},
author = {Christoph Mayer and Thomas Mohaupt},
journal= {arXiv preprint arXiv:hep-th/0407198},
year = {2016}
}
Comments
18 pages, v2: minor improvements in presentation, added two references