{"paper":{"title":"Classification of simple quasifinite modules for contact superconformal algebras with $N\\ne4$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Rencai L\\\"u, Yan-an Cai","submitted_at":"2025-01-08T02:03:56Z","abstract_excerpt":"In this paper, we classify all simple jet modules for contact superconformal algebras $\\mathcal{K}(N;\\epsilon)$ with $N\\neq4$. Then all simple quasifinite modules for $\\widehat{\\mathcal{K}}(N;\\epsilon)$ ($N\\neq4$), the universal central extension of $\\mathcal{K}(N;\\epsilon)$, are classified. Our results show that Mat\\'{i}nez-Zelmanov's conjecture in \\cite{MZe1} holds for $\\mathcal{K}(N;\\epsilon)$ ($N\\ne4$)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.04230","kind":"arxiv","version":1},"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/2501.04230/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"}