Domain Walls, Hitchin's Flow Equations and G_2-Manifolds

Details Domain Walls, Hitchin's Flow Equations and G_2-Manifolds Domain Walls, Hitchin's Flow Equations and G_2-Manifolds

2004-07-22

arxiv.org/abs/hep-th/0407198v2

Class.Quant.Grav.22:379-392,2005

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, v2: minor improvements in presentation, added two references

Scientific paper

10.1088/0264-9381/22/2/010

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.

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