{"paper":{"title":"Observables on multisymplectic manifolds and higher Courant algebroids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA"],"primary_cat":"math.SG","authors_text":"Antonio Michele Miti, Marco Zambon","submitted_at":"2022-09-13T09:23:41Z","abstract_excerpt":"Let $\\omega$ be a closed, non-degenerate differential form of arbitrary degree. Associated to it there are an $L_{\\infty}$-algebra of observables, and an $L_{\\infty}$-algebra of sections of the higher Courant algebroid twisted by $\\omega$. Our main result is the existence of an $L_{\\infty}$-embedding of the former into the latter. We display explicit formulae for the embedding, involving the Bernoulli numbers. When $\\omega$ is an integral symplectic form, the embedding can be realized geometrically via the prequantization construction, and when $\\omega$ is a 3-form the embedding was found by R"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.05836","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2209.05836/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}