{"paper":{"title":"Braid actions on quantum toroidal superalgebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.QA","authors_text":"Evgeny Mukhin, Luan Bezerra","submitted_at":"2019-12-18T16:48:08Z","abstract_excerpt":"We prove that the quantum toroidal algebras $\\mathcal{E}_\\mathbf{s}$ associated with different root systems $\\mathbf{s}$ of $\\mathfrak{gl}_{m|n}$ type are isomorphic. We also show the existence of Miki automorphism of $\\mathcal{E}_\\mathbf{s}$, which exchanges the vertical and horizontal subalgebras.\n  To obtain these results, we establish an action of the toroidal braid group on the direct sum $\\oplus_\\mathbf{s} \\mathcal{E}_\\mathbf{s}$ of all such algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.08729","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/1912.08729/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"}