{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:AFNM36X3FVU2CWTRYWYFSGYBV5","short_pith_number":"pith:AFNM36X3","schema_version":"1.0","canonical_sha256":"015acdfafb2d69a15a71c5b0591b01af4587bc34b700ae7712f1ed29ef03214a","source":{"kind":"arxiv","id":"2411.08406","version":3},"attestation_state":"computed","paper":{"title":"On Kazama-Suzuki Duality between $\\mathcal{W}_k(\\mathfrak{sl}_4, f_{\\rm sub})$ and $N=2$ Superconformal Vertex Algebra","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Ana Kontrec, Dra\\v{z}en Adamovi\\'c","submitted_at":"2024-11-13T07:48:42Z","abstract_excerpt":"We classify all possible occurrences of Kazama-Suzuki duality between the ${N=2}$ superconformal algebra $L^{N=2}_c$ and the subregular $\\mathcal{W}$-algebra $\\mathcal{W}_{k}(\\mathfrak{sl}_4, f_{\\rm sub})$. We establish a new Kazama-Suzuki duality between the subregular $\\mathcal{W}$-algebra $\\mathcal{W}_k(\\mathfrak{sl}_4, f_{\\rm sub})$ and the $N = 2$ superconformal algebra $L^{N=2}_{c}$ for $c=-15$. As a consequence of the duality, we classify the irreducible $\\mathcal{W}_{k=-1}(\\mathfrak{sl}_4, f_{\\rm sub})$-modules."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2411.08406","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.QA","submitted_at":"2024-11-13T07:48:42Z","cross_cats_sorted":[],"title_canon_sha256":"2c2122d969d523ec73df94d686c3009d914db25229ade904e0eece01a5baf567","abstract_canon_sha256":"e5c771788cebf07ca47babee170f11a1a60fe28208845488afb6299d866f6458"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:04:41.740103Z","signature_b64":"xHozHr61cpqk0x/ksDg3MDVEin1+x9jXoL2NGO/QfuYtgp2ZIkbG8fmo6J0JDPtva9cgj1IrTYoObgj5K2GUDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"015acdfafb2d69a15a71c5b0591b01af4587bc34b700ae7712f1ed29ef03214a","last_reissued_at":"2026-07-05T11:04:41.739635Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:04:41.739635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Kazama-Suzuki Duality between $\\mathcal{W}_k(\\mathfrak{sl}_4, f_{\\rm sub})$ and $N=2$ Superconformal Vertex Algebra","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Ana Kontrec, Dra\\v{z}en Adamovi\\'c","submitted_at":"2024-11-13T07:48:42Z","abstract_excerpt":"We classify all possible occurrences of Kazama-Suzuki duality between the ${N=2}$ superconformal algebra $L^{N=2}_c$ and the subregular $\\mathcal{W}$-algebra $\\mathcal{W}_{k}(\\mathfrak{sl}_4, f_{\\rm sub})$. We establish a new Kazama-Suzuki duality between the subregular $\\mathcal{W}$-algebra $\\mathcal{W}_k(\\mathfrak{sl}_4, f_{\\rm sub})$ and the $N = 2$ superconformal algebra $L^{N=2}_{c}$ for $c=-15$. As a consequence of the duality, we classify the irreducible $\\mathcal{W}_{k=-1}(\\mathfrak{sl}_4, f_{\\rm sub})$-modules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.08406","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/2411.08406/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2411.08406","created_at":"2026-07-05T11:04:41.739691+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.08406v3","created_at":"2026-07-05T11:04:41.739691+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.08406","created_at":"2026-07-05T11:04:41.739691+00:00"},{"alias_kind":"pith_short_12","alias_value":"AFNM36X3FVU2","created_at":"2026-07-05T11:04:41.739691+00:00"},{"alias_kind":"pith_short_16","alias_value":"AFNM36X3FVU2CWTR","created_at":"2026-07-05T11:04:41.739691+00:00"},{"alias_kind":"pith_short_8","alias_value":"AFNM36X3","created_at":"2026-07-05T11:04:41.739691+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AFNM36X3FVU2CWTRYWYFSGYBV5","json":"https://pith.science/pith/AFNM36X3FVU2CWTRYWYFSGYBV5.json","graph_json":"https://pith.science/api/pith-number/AFNM36X3FVU2CWTRYWYFSGYBV5/graph.json","events_json":"https://pith.science/api/pith-number/AFNM36X3FVU2CWTRYWYFSGYBV5/events.json","paper":"https://pith.science/paper/AFNM36X3"},"agent_actions":{"view_html":"https://pith.science/pith/AFNM36X3FVU2CWTRYWYFSGYBV5","download_json":"https://pith.science/pith/AFNM36X3FVU2CWTRYWYFSGYBV5.json","view_paper":"https://pith.science/paper/AFNM36X3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.08406&json=true","fetch_graph":"https://pith.science/api/pith-number/AFNM36X3FVU2CWTRYWYFSGYBV5/graph.json","fetch_events":"https://pith.science/api/pith-number/AFNM36X3FVU2CWTRYWYFSGYBV5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AFNM36X3FVU2CWTRYWYFSGYBV5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AFNM36X3FVU2CWTRYWYFSGYBV5/action/storage_attestation","attest_author":"https://pith.science/pith/AFNM36X3FVU2CWTRYWYFSGYBV5/action/author_attestation","sign_citation":"https://pith.science/pith/AFNM36X3FVU2CWTRYWYFSGYBV5/action/citation_signature","submit_replication":"https://pith.science/pith/AFNM36X3FVU2CWTRYWYFSGYBV5/action/replication_record"}},"created_at":"2026-07-05T11:04:41.739691+00:00","updated_at":"2026-07-05T11:04:41.739691+00:00"}