{"paper":{"title":"The Gauge Structure of Double Field Theory follows from Yang-Mills Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Felipe Diaz-Jaramillo, Olaf Hohm, Roberto Bonezzi","submitted_at":"2022-03-14T18:00:08Z","abstract_excerpt":"We show that to cubic order double field theory is encoded in Yang-Mills theory. To this end we use algebraic structures from string field theory as follows: The $L_{\\infty}$-algebra of Yang-Mills theory is the tensor product ${\\cal K}\\otimes \\mathfrak{g}$ of the Lie algebra $\\mathfrak{g}$ of the gauge group and a `kinematic algebra' ${\\cal K}$ that is a $C_{\\infty}$-algebra. This structure induces a cubic truncation of an $L_{\\infty}$-algebra on the subspace of level-matched states of the tensor product ${\\cal K}\\otimes \\bar{\\cal K}$ of two copies of the kinematic algebra. This $L_{\\infty}$-a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.07397","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2203.07397/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"}