{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:RTEQCGPDZC7GEDVAFQQP3RRJ7G","short_pith_number":"pith:RTEQCGPD","schema_version":"1.0","canonical_sha256":"8cc90119e3c8be620ea02c20fdc629f9b83c1e30cb4974fff4ff25556fc5eb16","source":{"kind":"arxiv","id":"1101.5385","version":2},"attestation_state":"computed","paper":{"title":"What Maxwell Theory in D<>4 teaches us about scale and conformal invariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Sheer El-Showk, Slava Rychkov, Yu Nakayama","submitted_at":"2011-01-27T20:31:28Z","abstract_excerpt":"The free Maxwell theory in D<>4 dimensions provides a physical example of a unitary, scale invariant theory which is NOT conformally invariant. The easiest way to see this is that the field strength operator F_mn is neither a primary nor a descendant. We show how conformal multiplets can be completed, and conformality restored, by adding new local operators to the theory. In D>=5, this can only be done by sacrificing unitarity of the extended Hilbert space. We analyze the full symmetry structure of the extended theory, which turns out to be related to the OSp(D,2|2) superalgebra."},"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":"1101.5385","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-01-27T20:31:28Z","cross_cats_sorted":[],"title_canon_sha256":"d9e983dffaf3ee8b2844142cd92ed43d5fc5a46c0a1a5cf029cce072c34ea7a8","abstract_canon_sha256":"7f4bf369569922d2899f19c2d8dcb7e717aa120c9e82297921277f6673b68696"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:21.153964Z","signature_b64":"3xwRySjiqejFvbOWw5rBqZxwJDnHfeFadtrNIpe2sCKfIPrYICS3OwP3lndMxN0Jz/c96Al5iTeh2gCQdq2WAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8cc90119e3c8be620ea02c20fdc629f9b83c1e30cb4974fff4ff25556fc5eb16","last_reissued_at":"2026-05-18T02:03:21.152095Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:21.152095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"What Maxwell Theory in D<>4 teaches us about scale and conformal invariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Sheer El-Showk, Slava Rychkov, Yu Nakayama","submitted_at":"2011-01-27T20:31:28Z","abstract_excerpt":"The free Maxwell theory in D<>4 dimensions provides a physical example of a unitary, scale invariant theory which is NOT conformally invariant. The easiest way to see this is that the field strength operator F_mn is neither a primary nor a descendant. We show how conformal multiplets can be completed, and conformality restored, by adding new local operators to the theory. In D>=5, this can only be done by sacrificing unitarity of the extended Hilbert space. We analyze the full symmetry structure of the extended theory, which turns out to be related to the OSp(D,2|2) superalgebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5385","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":""},"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":"1101.5385","created_at":"2026-05-18T02:03:21.153251+00:00"},{"alias_kind":"arxiv_version","alias_value":"1101.5385v2","created_at":"2026-05-18T02:03:21.153251+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5385","created_at":"2026-05-18T02:03:21.153251+00:00"},{"alias_kind":"pith_short_12","alias_value":"RTEQCGPDZC7G","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"RTEQCGPDZC7GEDVA","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"RTEQCGPD","created_at":"2026-05-18T12:26:41.206345+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2605.21755","citing_title":"Universalities of Defects in Quantum Field Theories","ref_index":28,"is_internal_anchor":true},{"citing_arxiv_id":"2510.23770","citing_title":"Bulk-to-bulk photon propagator in AdS","ref_index":65,"is_internal_anchor":true},{"citing_arxiv_id":"2603.09977","citing_title":"Does hot QCD have a conformal manifold in the chiral limit?","ref_index":53,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RTEQCGPDZC7GEDVAFQQP3RRJ7G","json":"https://pith.science/pith/RTEQCGPDZC7GEDVAFQQP3RRJ7G.json","graph_json":"https://pith.science/api/pith-number/RTEQCGPDZC7GEDVAFQQP3RRJ7G/graph.json","events_json":"https://pith.science/api/pith-number/RTEQCGPDZC7GEDVAFQQP3RRJ7G/events.json","paper":"https://pith.science/paper/RTEQCGPD"},"agent_actions":{"view_html":"https://pith.science/pith/RTEQCGPDZC7GEDVAFQQP3RRJ7G","download_json":"https://pith.science/pith/RTEQCGPDZC7GEDVAFQQP3RRJ7G.json","view_paper":"https://pith.science/paper/RTEQCGPD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1101.5385&json=true","fetch_graph":"https://pith.science/api/pith-number/RTEQCGPDZC7GEDVAFQQP3RRJ7G/graph.json","fetch_events":"https://pith.science/api/pith-number/RTEQCGPDZC7GEDVAFQQP3RRJ7G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RTEQCGPDZC7GEDVAFQQP3RRJ7G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RTEQCGPDZC7GEDVAFQQP3RRJ7G/action/storage_attestation","attest_author":"https://pith.science/pith/RTEQCGPDZC7GEDVAFQQP3RRJ7G/action/author_attestation","sign_citation":"https://pith.science/pith/RTEQCGPDZC7GEDVAFQQP3RRJ7G/action/citation_signature","submit_replication":"https://pith.science/pith/RTEQCGPDZC7GEDVAFQQP3RRJ7G/action/replication_record"}},"created_at":"2026-05-18T02:03:21.153251+00:00","updated_at":"2026-05-18T02:03:21.153251+00:00"}