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Spin(7)-manifolds with three-torus symmetry

By Thomas Bruun Madsen


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
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