{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ICZB4645L3AOAIWIIM74QX3RL6","short_pith_number":"pith:ICZB4645","schema_version":"1.0","canonical_sha256":"40b21e7b9d5ec0e022c8433fc85f715f97d5e8c814ceb2c0357522f1440270e8","source":{"kind":"arxiv","id":"1406.2249","version":3},"attestation_state":"computed","paper":{"title":"Deformations of $T^{1,1}$ as Yang-Baxter sigma models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Kentaroh Yoshida, P. Marcos Crichigno, Takuya Matsumoto","submitted_at":"2014-06-09T17:25:44Z","abstract_excerpt":"We consider a family of deformations of T^{1,1} in the Yang-Baxter sigma model approach. We first discuss a supercoset description of T^{1,1}, which makes manifest the full symmetry of the space and leads to the standard Sasaki-Einstein metric. Next, we consider three-parameter deformations of T^{1,1} by using classical r-matrices satisfying the classical Yang-Baxter equation (CYBE). The resulting metric and NS-NS two-form agree exactly with the ones obtained via TsT transformations, and contain the Lunin-Maldacena background as a special case. It is worth noting that for AdS_5 x T^{1,1}, clas"},"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":"1406.2249","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-09T17:25:44Z","cross_cats_sorted":["gr-qc","math-ph","math.MP","nlin.SI"],"title_canon_sha256":"53af558b669f8c033820d16c38323c14632baff031406737ea4002a3e03d696f","abstract_canon_sha256":"72da6658808970002b639d18cafb05c3887655cc6f59ddde3f4fb013897c3a6c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:46.079776Z","signature_b64":"gABn08ysTYpxg9Bs/Ninbx4nZ8fSD51TbB2RIEIlosEgkGtdbxZq83GY5dz8CWnUMKD2NmbRhkIZi6H0nj03Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40b21e7b9d5ec0e022c8433fc85f715f97d5e8c814ceb2c0357522f1440270e8","last_reissued_at":"2026-05-18T02:42:46.079327Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:46.079327Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deformations of $T^{1,1}$ as Yang-Baxter sigma models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Kentaroh Yoshida, P. Marcos Crichigno, Takuya Matsumoto","submitted_at":"2014-06-09T17:25:44Z","abstract_excerpt":"We consider a family of deformations of T^{1,1} in the Yang-Baxter sigma model approach. We first discuss a supercoset description of T^{1,1}, which makes manifest the full symmetry of the space and leads to the standard Sasaki-Einstein metric. Next, we consider three-parameter deformations of T^{1,1} by using classical r-matrices satisfying the classical Yang-Baxter equation (CYBE). The resulting metric and NS-NS two-form agree exactly with the ones obtained via TsT transformations, and contain the Lunin-Maldacena background as a special case. It is worth noting that for AdS_5 x T^{1,1}, clas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2249","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":"1406.2249","created_at":"2026-05-18T02:42:46.079387+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.2249v3","created_at":"2026-05-18T02:42:46.079387+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2249","created_at":"2026-05-18T02:42:46.079387+00:00"},{"alias_kind":"pith_short_12","alias_value":"ICZB4645L3AO","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_16","alias_value":"ICZB4645L3AOAIWI","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_8","alias_value":"ICZB4645","created_at":"2026-05-18T12:28:33.132498+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/ICZB4645L3AOAIWIIM74QX3RL6","json":"https://pith.science/pith/ICZB4645L3AOAIWIIM74QX3RL6.json","graph_json":"https://pith.science/api/pith-number/ICZB4645L3AOAIWIIM74QX3RL6/graph.json","events_json":"https://pith.science/api/pith-number/ICZB4645L3AOAIWIIM74QX3RL6/events.json","paper":"https://pith.science/paper/ICZB4645"},"agent_actions":{"view_html":"https://pith.science/pith/ICZB4645L3AOAIWIIM74QX3RL6","download_json":"https://pith.science/pith/ICZB4645L3AOAIWIIM74QX3RL6.json","view_paper":"https://pith.science/paper/ICZB4645","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.2249&json=true","fetch_graph":"https://pith.science/api/pith-number/ICZB4645L3AOAIWIIM74QX3RL6/graph.json","fetch_events":"https://pith.science/api/pith-number/ICZB4645L3AOAIWIIM74QX3RL6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ICZB4645L3AOAIWIIM74QX3RL6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ICZB4645L3AOAIWIIM74QX3RL6/action/storage_attestation","attest_author":"https://pith.science/pith/ICZB4645L3AOAIWIIM74QX3RL6/action/author_attestation","sign_citation":"https://pith.science/pith/ICZB4645L3AOAIWIIM74QX3RL6/action/citation_signature","submit_replication":"https://pith.science/pith/ICZB4645L3AOAIWIIM74QX3RL6/action/replication_record"}},"created_at":"2026-05-18T02:42:46.079387+00:00","updated_at":"2026-05-18T02:42:46.079387+00:00"}