{"paper":{"title":"Deformed Double Current Algebras, Matrix Extended $\\mathcal W_{\\infty}$ Algebras, Coproducts, and Intertwiners from the M2-M5 Intersection","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA"],"primary_cat":"hep-th","authors_text":"Davide Gaiotto, Miroslav Rap\\v{c}\\'ak, Yehao Zhou","submitted_at":"2023-09-29T02:07:17Z","abstract_excerpt":"We study the algebraic structures which govern the deformation of supersymmetric intersections of M2 and M5 branes. The universal algebras on M2 and M5 branes are deformed double current algebra of $\\mathfrak{gl}_K$ and $\\mathfrak{gl}_K$-extended $\\mathcal{W}_{\\infty}$-algebra respectively. We give a new presentation of the deformed double current algebra of $\\mathfrak{gl}_K$, and we give a rigorous mathematical construction of the $\\mathfrak{gl}_K$-extended $\\mathcal{W}_{\\infty}$-algebra. A new presentation of the affine Yangian of $\\mathfrak{gl}_K$ is also obtained. We construct various copr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.16929","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2309.16929/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"}