{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:JDAITEENL7JANM5SJUDAYWI7J6","short_pith_number":"pith:JDAITEEN","schema_version":"1.0","canonical_sha256":"48c089908d5fd206b3b24d060c591f4fb1d1cb223f272cfda77c255d08d0e3c7","source":{"kind":"arxiv","id":"1911.10391","version":2},"attestation_state":"computed","paper":{"title":"Notes on Superconformal Representations in Two Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Siyul Lee, Sungjay Lee","submitted_at":"2019-11-23T17:39:21Z","abstract_excerpt":"We study global subalgebras of superconformal algebras in two dimensions and their unitary representations. Global superconformal multiplets are decomposed into conformal multiplets using Racah-Speiser algorithm, revealing many essential aspects of superconformal theories such as stress-energy tensor, conserved current, supersymmetric deformation and supersymmetry enhancement. Character formulae for the representations are presented. We further find a collection of conserved charges that are $k$-forms under the R-symmetry, which must be part of the super Virasoro algebra with $\\mathcal{N} \\geq"},"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":"1911.10391","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-11-23T17:39:21Z","cross_cats_sorted":[],"title_canon_sha256":"5d7a213255bc0b9756ecc80fbb1362945ec96103f9c123f781e99fc2b8f43971","abstract_canon_sha256":"0d67effebf93b625ab0290cd87a0fb33da7c2e4137fbea0a804476b48731623a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:41:29.385722Z","signature_b64":"zrpWGynNvzmcXfot6vUZS4fV5Rj4NbALRFPduqSnwdaopcf7rDA/W3kZ37hSRlPY1PrTixcU9PGOWeT/5rtPBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48c089908d5fd206b3b24d060c591f4fb1d1cb223f272cfda77c255d08d0e3c7","last_reissued_at":"2026-07-05T01:41:29.385234Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:41:29.385234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Notes on Superconformal Representations in Two Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Siyul Lee, Sungjay Lee","submitted_at":"2019-11-23T17:39:21Z","abstract_excerpt":"We study global subalgebras of superconformal algebras in two dimensions and their unitary representations. Global superconformal multiplets are decomposed into conformal multiplets using Racah-Speiser algorithm, revealing many essential aspects of superconformal theories such as stress-energy tensor, conserved current, supersymmetric deformation and supersymmetry enhancement. Character formulae for the representations are presented. We further find a collection of conserved charges that are $k$-forms under the R-symmetry, which must be part of the super Virasoro algebra with $\\mathcal{N} \\geq"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.10391","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/1911.10391/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":"1911.10391","created_at":"2026-07-05T01:41:29.385290+00:00"},{"alias_kind":"arxiv_version","alias_value":"1911.10391v2","created_at":"2026-07-05T01:41:29.385290+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.10391","created_at":"2026-07-05T01:41:29.385290+00:00"},{"alias_kind":"pith_short_12","alias_value":"JDAITEENL7JA","created_at":"2026-07-05T01:41:29.385290+00:00"},{"alias_kind":"pith_short_16","alias_value":"JDAITEENL7JANM5S","created_at":"2026-07-05T01:41:29.385290+00:00"},{"alias_kind":"pith_short_8","alias_value":"JDAITEEN","created_at":"2026-07-05T01:41:29.385290+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.30725","citing_title":"Constrained particle on a group: from propagators to correlators","ref_index":61,"is_internal_anchor":false},{"citing_arxiv_id":"2512.23603","citing_title":"Two roads to fortuity in ABJM theory","ref_index":56,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JDAITEENL7JANM5SJUDAYWI7J6","json":"https://pith.science/pith/JDAITEENL7JANM5SJUDAYWI7J6.json","graph_json":"https://pith.science/api/pith-number/JDAITEENL7JANM5SJUDAYWI7J6/graph.json","events_json":"https://pith.science/api/pith-number/JDAITEENL7JANM5SJUDAYWI7J6/events.json","paper":"https://pith.science/paper/JDAITEEN"},"agent_actions":{"view_html":"https://pith.science/pith/JDAITEENL7JANM5SJUDAYWI7J6","download_json":"https://pith.science/pith/JDAITEENL7JANM5SJUDAYWI7J6.json","view_paper":"https://pith.science/paper/JDAITEEN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1911.10391&json=true","fetch_graph":"https://pith.science/api/pith-number/JDAITEENL7JANM5SJUDAYWI7J6/graph.json","fetch_events":"https://pith.science/api/pith-number/JDAITEENL7JANM5SJUDAYWI7J6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JDAITEENL7JANM5SJUDAYWI7J6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JDAITEENL7JANM5SJUDAYWI7J6/action/storage_attestation","attest_author":"https://pith.science/pith/JDAITEENL7JANM5SJUDAYWI7J6/action/author_attestation","sign_citation":"https://pith.science/pith/JDAITEENL7JANM5SJUDAYWI7J6/action/citation_signature","submit_replication":"https://pith.science/pith/JDAITEENL7JANM5SJUDAYWI7J6/action/replication_record"}},"created_at":"2026-07-05T01:41:29.385290+00:00","updated_at":"2026-07-05T01:41:29.385290+00:00"}