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arXiv · 1503.00373

Foliated backgrounds for M-theory compactifications (I)

Elena Mirela Babalic·Calin Iuliu Lazaroiu
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Abstract

We summarize our geometric and topological description of compact eight-manifolds which arise as internal spaces in ${\cal N}=1$ flux compactifications of M-theory down to $\mathrm{AdS}_3$, 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 $G_2$ structure, a foliation whose topology and geometry we characterize rigorously.

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Elena Mirela Babalic, Calin Iuliu Lazaroiu. 2015-03-01. Foliated backgrounds for M-theory compactifications (I). https://doi.org/10.1063/1.4937233

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