{"paper":{"title":"Duality of subregular W-algebras and principal W-superalgebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.RT"],"primary_cat":"math.QA","authors_text":"Naoki Genra, Shigenori Nakatsuka, Thomas Creutzig","submitted_at":"2020-05-21T15:10:10Z","abstract_excerpt":"We prove Feigin-Frenkel type dualities between subregular W-algebras of type A, B and principal W-superalgebras of type $\\mathfrak{sl}(1|n), \\mathfrak{osp}(2|2n)$. The type A case proves a conjecture of Feigin and Semikhatov. Let $(\\mathfrak{g}_1,\\mathfrak{g}_2) = (\\mathfrak{sl}_{n+1},\\mathfrak{sl}(1|n+1))$ or $(\\mathfrak{so}_{2n+1}, \\mathfrak{osp}(2|2n))$ and let $r$ be the lacity of $\\mathfrak{g}_1$. Let k be a complex number and $\\ell$ defined by $r(k+h^\\vee_1)(\\ell+h^\\vee_2)=1$ with $h^\\vee_i$ the dual Coxeter numbers of the $\\mathfrak g_i$. Our first main result is that the Heisenberg cos"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.10713","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/2005.10713/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"}