Spin(7)-manifolds with three-torus symmetry
Differential Geometry
2011-09-30 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1104.3089,
title = {Spin(7)-manifolds with three-torus symmetry},
author = {Thomas Bruun Madsen},
journal= {arXiv preprint arXiv:1104.3089},
year = {2011}
}