Foliated backgrounds for M-theory compactifications (I)
arXiv:1503.00373 · doi:10.1063/1.4937233
Abstract
We summarize our geometric and topological description of compact eight-manifolds which arise as internal spaces in flux compactifications of M-theory down to , under the assumption that the internal part of the supersymmetry generator is everywhere non-chiral. Specifying such a supersymmetric background is {\em equivalent} with giving a certain codimension one foliation defined by a closed one-form and which carries a leafwise structure, a foliation whose topology and geometry we characterize rigorously.
6 pages, 2 figures, conference proceedings, TIM 14 Physcis Conference, 20-22 November 2014, Timisoara, Romania