{"paper":{"title":"Singular foliations for M-theory compactification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"hep-th","authors_text":"Calin Iuliu Lazaroiu, Elena Mirela Babalic","submitted_at":"2014-11-13T10:54:07Z","abstract_excerpt":"We use the theory of singular foliations to study ${\\cal N}=1$ compactifications of eleven-dimensional supergravity on eight-manifolds $M$ down to $\\mathrm{AdS}_3$ spaces, allowing for the possibility that the internal part $\\xi$ of the supersymmetry generator is chiral on some locus ${\\cal W}$ which does not coincide with $M$. We show that the complement $M\\setminus {\\cal W}$ must be a dense open subset of $M$ and that $M$ admits a singular foliation ${\\bar {\\cal F}}$ endowed with a longitudinal $G_2$ structure and defined by a closed one-form $\\boldsymbol{\\omega}$, whose geometry is determin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3497","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}