{"paper":{"title":"Leibniz 2-algebras and twisted Courant algebroids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT","math.DG","math.MP"],"primary_cat":"math-ph","authors_text":"Yunhe Sheng, Zhangju Liu","submitted_at":"2010-12-26T13:52:12Z","abstract_excerpt":"In this paper, we give the categorification of Leibniz algebras, which is equivalent to 2-term sh Leibniz algebras. They reveal the algebraic structure of omni-Lie 2-algebras introduced in \\cite{omniLie2} as well as twisted Courant algebroids by closed 4-forms introduced in \\cite{4form}.\n  We also prove that Dirac structures of twisted Courant algebroids give rise to 2-term $L_\\infty$-algebras and geometric structures behind them are exactly $H$-twisted Lie algebroids introduced in \\cite{Grutzmann}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5515","kind":"arxiv","version":3},"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"}