{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:4CXP2ICA5N5P26YQMGW2ICBEAN","short_pith_number":"pith:4CXP2ICA","schema_version":"1.0","canonical_sha256":"e0aefd2040eb7afd7b1061ada4082403760a6fad6fc70aa8405679980f647dc1","source":{"kind":"arxiv","id":"2111.05536","version":2},"attestation_state":"computed","paper":{"title":"Subregular W-algebras of type A","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","math.RT"],"primary_cat":"math.QA","authors_text":"Zachary Fehily","submitted_at":"2021-11-10T05:43:16Z","abstract_excerpt":"Subregular W-algebras are an interesting and increasingly important class of quantum hamiltonian reductions of affine vertex algebras. Here, we show that the $\\mathfrak{sl}_{n+1}$ subregular W-algebra can be realised in terms of the $\\mathfrak{sl}_{n+1}$ regular W-algebra and the half lattice vertex algebra $\\Pi$. This generalises the realisations found for $n=1$ and $2$ in [arXiv:1711.11342, arXiv:2007.00396] and can be interpreted as an inverse quantum hamiltonian reduction in the sense of Adamovi\\'c. We use this realisation to explore the representation theory of $\\mathfrak{sl}_{n+1}$ subre"},"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":"2111.05536","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2021-11-10T05:43:16Z","cross_cats_sorted":["hep-th","math-ph","math.MP","math.RT"],"title_canon_sha256":"eaa5091a67876bcedfbb89bac17ad57a57148bdae156af609e41c85879a1a696","abstract_canon_sha256":"01801b683be3868a8df941df5950c27dd2689be88fcfb355eca19ee1fcffcb08"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:06:08.764959Z","signature_b64":"sbBmic0DayTbLLe9fBHCsPdQGBDh2jd4I8AiFcpHvgODS3MpUdFHJtR35D1wJegEP8hc3c+fJ6X0GKkqqX6dAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0aefd2040eb7afd7b1061ada4082403760a6fad6fc70aa8405679980f647dc1","last_reissued_at":"2026-07-05T05:06:08.764413Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:06:08.764413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Subregular W-algebras of type A","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","math.RT"],"primary_cat":"math.QA","authors_text":"Zachary Fehily","submitted_at":"2021-11-10T05:43:16Z","abstract_excerpt":"Subregular W-algebras are an interesting and increasingly important class of quantum hamiltonian reductions of affine vertex algebras. Here, we show that the $\\mathfrak{sl}_{n+1}$ subregular W-algebra can be realised in terms of the $\\mathfrak{sl}_{n+1}$ regular W-algebra and the half lattice vertex algebra $\\Pi$. This generalises the realisations found for $n=1$ and $2$ in [arXiv:1711.11342, arXiv:2007.00396] and can be interpreted as an inverse quantum hamiltonian reduction in the sense of Adamovi\\'c. We use this realisation to explore the representation theory of $\\mathfrak{sl}_{n+1}$ subre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.05536","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/2111.05536/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":"2111.05536","created_at":"2026-07-05T05:06:08.764471+00:00"},{"alias_kind":"arxiv_version","alias_value":"2111.05536v2","created_at":"2026-07-05T05:06:08.764471+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.05536","created_at":"2026-07-05T05:06:08.764471+00:00"},{"alias_kind":"pith_short_12","alias_value":"4CXP2ICA5N5P","created_at":"2026-07-05T05:06:08.764471+00:00"},{"alias_kind":"pith_short_16","alias_value":"4CXP2ICA5N5P26YQ","created_at":"2026-07-05T05:06:08.764471+00:00"},{"alias_kind":"pith_short_8","alias_value":"4CXP2ICA","created_at":"2026-07-05T05:06:08.764471+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.19708","citing_title":"Reduction and inverse-reduction functors I: standard $\\mathsf{V^k}(\\mathfrak{sl}_2)$-modules","ref_index":37,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4CXP2ICA5N5P26YQMGW2ICBEAN","json":"https://pith.science/pith/4CXP2ICA5N5P26YQMGW2ICBEAN.json","graph_json":"https://pith.science/api/pith-number/4CXP2ICA5N5P26YQMGW2ICBEAN/graph.json","events_json":"https://pith.science/api/pith-number/4CXP2ICA5N5P26YQMGW2ICBEAN/events.json","paper":"https://pith.science/paper/4CXP2ICA"},"agent_actions":{"view_html":"https://pith.science/pith/4CXP2ICA5N5P26YQMGW2ICBEAN","download_json":"https://pith.science/pith/4CXP2ICA5N5P26YQMGW2ICBEAN.json","view_paper":"https://pith.science/paper/4CXP2ICA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2111.05536&json=true","fetch_graph":"https://pith.science/api/pith-number/4CXP2ICA5N5P26YQMGW2ICBEAN/graph.json","fetch_events":"https://pith.science/api/pith-number/4CXP2ICA5N5P26YQMGW2ICBEAN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4CXP2ICA5N5P26YQMGW2ICBEAN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4CXP2ICA5N5P26YQMGW2ICBEAN/action/storage_attestation","attest_author":"https://pith.science/pith/4CXP2ICA5N5P26YQMGW2ICBEAN/action/author_attestation","sign_citation":"https://pith.science/pith/4CXP2ICA5N5P26YQMGW2ICBEAN/action/citation_signature","submit_replication":"https://pith.science/pith/4CXP2ICA5N5P26YQMGW2ICBEAN/action/replication_record"}},"created_at":"2026-07-05T05:06:08.764471+00:00","updated_at":"2026-07-05T05:06:08.764471+00:00"}