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Domain walls, Hitchin's flow equations and G2-manifolds

Christoph Mayer and Thomas Mohaupt

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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 × Y7, where Y7 is a G2-holonomy manifold with boundaries.


PACS

04.65.+e Supergravity

02.40.-k Geometry, differential geometry, and topology

11.27.+d Extended classical solutions; cosmic strings, domain walls, texture

11.25.Mj Compactification and four-dimensional models

MSC

14J32 Calabi-Yau manifolds, mirror symmetry

83E30 String and superstring theories (See also 81T30)

53C29 Issues of holonomy

83E50 Supergravity

Subjects

Mathematical physics

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 2 (21 January 2005)

Received 12 October 2004

Published 29 December 2004



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