| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1896331 | Journal of Geometry and Physics | 2011 | 8 Pages |
Abstract
Metrics of exceptional holonomy are vacuum solutions to the Einstein equation. In this paper we describe manifolds with holonomy contained in Spin(7)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.
► Metrics of exceptional holonomy are vacuum solutions to the Einstein equation. ► We describe manifolds with holonomy in Spin(7)Spin(7) preserved by 3-torus symmetry. ► This is done in terms of tri-symplectic geometry of 4-manifolds. ► We complement examples that appeared in context of domain wall problems in sugra.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Thomas Bruun Madsen,