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Let $c_m = {3m}/{m+2}$.\n  We classify all irreducible modules for the SVOA $L_{c_m}$.\n  When $m$ is an integer we prove that the set of all unitary representations of N=2 superconformal algebra with the central charge $c_m$ provides all irreducible $L_{c_m}$-modules. When $m \\notin {\\N} $ and $m$ is an admissible rational number we show that irreducible $L_{c_m}$-modules are parameterized with the union of one finite set and union of finitely","authors_text":"Drazen Adamovic","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"math.QA","submitted_at":"1998-09-24T12:04:17Z","title":"Representations of N=2 superconformal vertex algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9809141","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d073d9d01ee0083da0ba1786b6692ea85dd5fd2e224eb5dc08fdd2e057d4ad07","target":"record","created_at":"2026-07-04T14:40:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e1580e975f287f0d3921f3d7c1b6e2db0a05d347155d4c40fa8089422c57677b","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.QA","submitted_at":"1998-09-24T12:04:17Z","title_canon_sha256":"537b57a7b680b0016ac3f1217fb837620a9b389c253bc8beae10f43e73df9a1a"},"schema_version":"1.0","source":{"id":"math/9809141","kind":"arxiv","version":1}},"canonical_sha256":"15e59860e6adf55e03ea6ec2cd68714b014a44399058d3d6d036f36b422e3084","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15e59860e6adf55e03ea6ec2cd68714b014a44399058d3d6d036f36b422e3084","first_computed_at":"2026-07-04T14:40:47.941528Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:40:47.941528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rqd/99pon8RayBzCCXS64dLmAivRKS04dh9E9wfQnV919Bw8m/Rk1e1mINEcF2E3k6mPaI3dRHSdevJf77G+Dw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:40:47.941933Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9809141","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d073d9d01ee0083da0ba1786b6692ea85dd5fd2e224eb5dc08fdd2e057d4ad07","sha256:3e84952b51dc90facf7891c4b73a637dc372e46e0e440e4673b4f7a7a6484524"],"state_sha256":"6e98eb4398670d3a5a8cfe3aebb8f8d325ee21a7b309f8d1d67801865f4f2784"}