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Spin(7)-manifolds with three-torus symmetry

By Thomas Bruun Madsen

Abstract

Metrics of exceptional holonomy are vacuum solutions to the Einstein equation. In this paper we describe manifolds with holonomy contained in Spin(7) preserved by a three-torus symmetry in terms of tri-symplectic geometry of four-manifolds. These complement examples that have appeared in the context of domain wall problems in supergravity

Topics: Mathematics - Differential Geometry, High Energy Physics - Theory, 53C15 (Primary) 53C29, 53D20, 70G45 (Secondary)
Year: 2011
DOI identifier: 10.1016/j.geomphys.2011.07.008
OAI identifier: oai:arXiv.org:1104.3089
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