{"paper":{"title":"Spencer cohomology and eleven-dimensional supergravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.RT"],"primary_cat":"hep-th","authors_text":"Andrea Santi, Jos\\'e Figueroa-O'Farrill","submitted_at":"2015-11-27T16:48:59Z","abstract_excerpt":"We recover the classification of the maximally supersymmetric bosonic backgrounds of eleven-dimensional supergravity by Lie algebraic means. We classify all filtered deformations of the $\\mathbb Z$-graded subalgebras $\\mathfrak{h}=\\mathfrak{h}_{-2}\\oplus\\mathfrak{h}_{-1}\\oplus\\mathfrak{h}_{0}$ of the Poincar\\'e superalgebra $\\mathfrak{g}=\\mathfrak{g}_{-2}\\oplus\\mathfrak{g}_{-1}\\oplus\\mathfrak{g}_{0}=V\\oplus S\\oplus \\mathfrak{so}(V)$ which differ only in zero degree, that is $\\mathfrak{h}_0\\subset\\mathfrak{g}_0$ and $\\mathfrak{h}_j=\\mathfrak{g}_j$ for $j<0$. Aside from the Poincar\\'e superalgeb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.08737","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"}