{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:PQ4FWD2Z2NWHKFWLVEU753CM5S","short_pith_number":"pith:PQ4FWD2Z","schema_version":"1.0","canonical_sha256":"7c385b0f59d36c7516cba929feec4cec9225456735e0161ee4c7abb8f4deb052","source":{"kind":"arxiv","id":"1712.01370","version":3},"attestation_state":"computed","paper":{"title":"Matrix supergroup Chern-Simons models for vortex-antivortex systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.str-el","math-ph","math.MP","math.RT"],"primary_cat":"hep-th","authors_text":"Douglas J. Smith, Tadashi Okazaki","submitted_at":"2017-12-04T21:23:50Z","abstract_excerpt":"We study a $U(N|M)$ supermatrix Chern-Simons model with an $SU(p|q)$ internal symmetry. We propose that the model describes a system consisting of $N$ vortices and $M$ antivortices involving $SU(p|q)$ internal spin degrees of freedom. We present both classical and quantum ground state solutions, and demonstrate the relation to Calogero models. We present evidence that a large $N$ limit describes $SU(p|q)$ WZW models. In particular, we derive $\\widehat{\\mathfrak{su}}(p|q)$ Kac-Moody algebras. We also present some results on the calculation of the partition function involving a supersymmetric ge"},"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":"1712.01370","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-04T21:23:50Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.str-el","math-ph","math.MP","math.RT"],"title_canon_sha256":"794e1e1cf688b32cc4ab0660d38b059aa37a444ae3278270cd1140741f2817fe","abstract_canon_sha256":"587d79fcc9c1e7d1be54d2258143a885a37281ad4638a0a97dc24dd5b96ae3d2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:18.446205Z","signature_b64":"FOofFxNtVz+5SROQs4VQHrEYGCiRKfgIim8eMQznBb59JiTjXrAtGgZaI5HC2RTQB4V+n+rFFN82i90Txdz4Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c385b0f59d36c7516cba929feec4cec9225456735e0161ee4c7abb8f4deb052","last_reissued_at":"2026-05-18T00:22:18.445728Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:18.445728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Matrix supergroup Chern-Simons models for vortex-antivortex systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.str-el","math-ph","math.MP","math.RT"],"primary_cat":"hep-th","authors_text":"Douglas J. Smith, Tadashi Okazaki","submitted_at":"2017-12-04T21:23:50Z","abstract_excerpt":"We study a $U(N|M)$ supermatrix Chern-Simons model with an $SU(p|q)$ internal symmetry. We propose that the model describes a system consisting of $N$ vortices and $M$ antivortices involving $SU(p|q)$ internal spin degrees of freedom. We present both classical and quantum ground state solutions, and demonstrate the relation to Calogero models. We present evidence that a large $N$ limit describes $SU(p|q)$ WZW models. In particular, we derive $\\widehat{\\mathfrak{su}}(p|q)$ Kac-Moody algebras. We also present some results on the calculation of the partition function involving a supersymmetric ge"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.01370","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":""},"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":"1712.01370","created_at":"2026-05-18T00:22:18.445806+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.01370v3","created_at":"2026-05-18T00:22:18.445806+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.01370","created_at":"2026-05-18T00:22:18.445806+00:00"},{"alias_kind":"pith_short_12","alias_value":"PQ4FWD2Z2NWH","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_16","alias_value":"PQ4FWD2Z2NWHKFWL","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_8","alias_value":"PQ4FWD2Z","created_at":"2026-05-18T12:31:37.085036+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/PQ4FWD2Z2NWHKFWLVEU753CM5S","json":"https://pith.science/pith/PQ4FWD2Z2NWHKFWLVEU753CM5S.json","graph_json":"https://pith.science/api/pith-number/PQ4FWD2Z2NWHKFWLVEU753CM5S/graph.json","events_json":"https://pith.science/api/pith-number/PQ4FWD2Z2NWHKFWLVEU753CM5S/events.json","paper":"https://pith.science/paper/PQ4FWD2Z"},"agent_actions":{"view_html":"https://pith.science/pith/PQ4FWD2Z2NWHKFWLVEU753CM5S","download_json":"https://pith.science/pith/PQ4FWD2Z2NWHKFWLVEU753CM5S.json","view_paper":"https://pith.science/paper/PQ4FWD2Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.01370&json=true","fetch_graph":"https://pith.science/api/pith-number/PQ4FWD2Z2NWHKFWLVEU753CM5S/graph.json","fetch_events":"https://pith.science/api/pith-number/PQ4FWD2Z2NWHKFWLVEU753CM5S/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PQ4FWD2Z2NWHKFWLVEU753CM5S/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PQ4FWD2Z2NWHKFWLVEU753CM5S/action/storage_attestation","attest_author":"https://pith.science/pith/PQ4FWD2Z2NWHKFWLVEU753CM5S/action/author_attestation","sign_citation":"https://pith.science/pith/PQ4FWD2Z2NWHKFWLVEU753CM5S/action/citation_signature","submit_replication":"https://pith.science/pith/PQ4FWD2Z2NWHKFWLVEU753CM5S/action/replication_record"}},"created_at":"2026-05-18T00:22:18.445806+00:00","updated_at":"2026-05-18T00:22:18.445806+00:00"}