{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:OKVLBGTSKPP7EBRIEUWZZYF5XC","short_pith_number":"pith:OKVLBGTS","schema_version":"1.0","canonical_sha256":"72aab09a7253dff20628252d9ce0bdb8b9a19b958862846a1bcb1ea9c482eafc","source":{"kind":"arxiv","id":"hep-th/0610038","version":4},"attestation_state":"computed","paper":{"title":"Embedding of theories with SU(2|4) symmetry into the plane wave matrix model","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Asato Tsuchiya, Goro Ishiki, Shinji Shimasaki, Yastoshi Takayama","submitted_at":"2006-10-03T06:47:07Z","abstract_excerpt":"We study theories with SU(2|4) symmetry, which include the plane wave matrix model, 2+1 SYM on RxS^2 and N=4 SYM on RxS^3/Z_k. All these theories possess many vacua. From Lin-Maldacena's method which gives the gravity dual of each vacuum, it is predicted that the theory around each vacuum of 2+1 SYM on RxS^2 and N=4 SYM on RxS^3/Z_k is embedded in the plane wave matrix model. We show this directly on the gauge theory side. We clearly reveal relationships among the spherical harmonics on S^3, the monopole harmonics and the harmonics on fuzzy spheres. We extend the compactification (the T-dualit"},"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":"hep-th/0610038","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-10-03T06:47:07Z","cross_cats_sorted":[],"title_canon_sha256":"fcb48af5968f87a2ae5e4b80cf5562fe8720f1144bcc247f46a51fdd0a47328d","abstract_canon_sha256":"71960505dc4f11d5ab5bda664064918ca78053337b9508792d3748c77926ab0b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:02:04.688757Z","signature_b64":"Z4ZFITNwBn9JqVsPEMP0XCbrpU7H1nVVlJWKGeePyKeL56qhxFF8LN7lKZypWPqeAncwrv/MqCgGhJ4wQU7aBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72aab09a7253dff20628252d9ce0bdb8b9a19b958862846a1bcb1ea9c482eafc","last_reissued_at":"2026-07-04T17:02:04.688387Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:02:04.688387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Embedding of theories with SU(2|4) symmetry into the plane wave matrix model","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Asato Tsuchiya, Goro Ishiki, Shinji Shimasaki, Yastoshi Takayama","submitted_at":"2006-10-03T06:47:07Z","abstract_excerpt":"We study theories with SU(2|4) symmetry, which include the plane wave matrix model, 2+1 SYM on RxS^2 and N=4 SYM on RxS^3/Z_k. All these theories possess many vacua. From Lin-Maldacena's method which gives the gravity dual of each vacuum, it is predicted that the theory around each vacuum of 2+1 SYM on RxS^2 and N=4 SYM on RxS^3/Z_k is embedded in the plane wave matrix model. We show this directly on the gauge theory side. We clearly reveal relationships among the spherical harmonics on S^3, the monopole harmonics and the harmonics on fuzzy spheres. We extend the compactification (the T-dualit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0610038","kind":"arxiv","version":4},"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/hep-th/0610038/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":"hep-th/0610038","created_at":"2026-07-04T17:02:04.688437+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0610038v4","created_at":"2026-07-04T17:02:04.688437+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0610038","created_at":"2026-07-04T17:02:04.688437+00:00"},{"alias_kind":"pith_short_12","alias_value":"OKVLBGTSKPP7","created_at":"2026-07-04T17:02:04.688437+00:00"},{"alias_kind":"pith_short_16","alias_value":"OKVLBGTSKPP7EBRI","created_at":"2026-07-04T17:02:04.688437+00:00"},{"alias_kind":"pith_short_8","alias_value":"OKVLBGTS","created_at":"2026-07-04T17:02:04.688437+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.25560","citing_title":"Finite-$N$ BMN index across all vacuum sectors","ref_index":12,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OKVLBGTSKPP7EBRIEUWZZYF5XC","json":"https://pith.science/pith/OKVLBGTSKPP7EBRIEUWZZYF5XC.json","graph_json":"https://pith.science/api/pith-number/OKVLBGTSKPP7EBRIEUWZZYF5XC/graph.json","events_json":"https://pith.science/api/pith-number/OKVLBGTSKPP7EBRIEUWZZYF5XC/events.json","paper":"https://pith.science/paper/OKVLBGTS"},"agent_actions":{"view_html":"https://pith.science/pith/OKVLBGTSKPP7EBRIEUWZZYF5XC","download_json":"https://pith.science/pith/OKVLBGTSKPP7EBRIEUWZZYF5XC.json","view_paper":"https://pith.science/paper/OKVLBGTS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0610038&json=true","fetch_graph":"https://pith.science/api/pith-number/OKVLBGTSKPP7EBRIEUWZZYF5XC/graph.json","fetch_events":"https://pith.science/api/pith-number/OKVLBGTSKPP7EBRIEUWZZYF5XC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OKVLBGTSKPP7EBRIEUWZZYF5XC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OKVLBGTSKPP7EBRIEUWZZYF5XC/action/storage_attestation","attest_author":"https://pith.science/pith/OKVLBGTSKPP7EBRIEUWZZYF5XC/action/author_attestation","sign_citation":"https://pith.science/pith/OKVLBGTSKPP7EBRIEUWZZYF5XC/action/citation_signature","submit_replication":"https://pith.science/pith/OKVLBGTSKPP7EBRIEUWZZYF5XC/action/replication_record"}},"created_at":"2026-07-04T17:02:04.688437+00:00","updated_at":"2026-07-04T17:02:04.688437+00:00"}