{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZJWVO5E4X6HQAJ57OGBI7OYD3N","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9e9a183bfc2f8c236fde0e4d6e6e3d802caeb855c9df24e2ddc93e5866aa2be2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-26T20:00:29Z","title_canon_sha256":"e117d9a955502fbcae5a38aca48c4970d46bcfefffba5085d432a738d56a6f2d"},"schema_version":"1.0","source":{"id":"1607.07878","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07878","created_at":"2026-05-18T00:51:47Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07878v2","created_at":"2026-05-18T00:51:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07878","created_at":"2026-05-18T00:51:47Z"},{"alias_kind":"pith_short_12","alias_value":"ZJWVO5E4X6HQ","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZJWVO5E4X6HQAJ57","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZJWVO5E4","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:217cd9636b281a1374858ac08170e397ee627c2409d3b2c2ff2f89503a03d879","target":"graph","created_at":"2026-05-18T00:51:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We find a general formula for the operator mixing on the $\\mathbb{S}^4$ of chiral primary operators (CPO) for the ${\\cal N}=4$ theory at large $N$ in terms of Chebyshev polynomials. As an application, we compute the correlator of a CPO and a Wilson loop, reproducing an earlier result by Giombi and Pestun obtained from a two-matrix model proposal. Finally, we discuss a simple method to obtain correlators in general ${\\cal N}=2$ superconformal field theories in perturbation theory in terms of correlators of the ${\\cal N}=4$ theory.","authors_text":"Diego Rodriguez-Gomez, Jorge G. Russo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-26T20:00:29Z","title":"Operator Mixing in Large $N$ Superconformal Field Theories on $\\mathbb{S}^4$ and Correlators with Wilson loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07878","kind":"arxiv","version":2},"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":"sha256:5d1805182a6f6822815d0d6a8b898ab8b08dcc82a16c8506a8ab3f9d90bce7f7","target":"record","created_at":"2026-05-18T00:51:47Z","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":"9e9a183bfc2f8c236fde0e4d6e6e3d802caeb855c9df24e2ddc93e5866aa2be2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-26T20:00:29Z","title_canon_sha256":"e117d9a955502fbcae5a38aca48c4970d46bcfefffba5085d432a738d56a6f2d"},"schema_version":"1.0","source":{"id":"1607.07878","kind":"arxiv","version":2}},"canonical_sha256":"ca6d57749cbf8f0027bf71828fbb03db7c35e7def16112668b3433f1ef14e18e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca6d57749cbf8f0027bf71828fbb03db7c35e7def16112668b3433f1ef14e18e","first_computed_at":"2026-05-18T00:51:47.621637Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:47.621637Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oDPDvvfk8YjC7JwqbsxE2JqLxySVB00QoTsuLRdM0dpKjosBW4B+Ipsx+XuwpgYqWbPPVbo7GKpPwAZ11Q5AAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:47.622384Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.07878","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d1805182a6f6822815d0d6a8b898ab8b08dcc82a16c8506a8ab3f9d90bce7f7","sha256:217cd9636b281a1374858ac08170e397ee627c2409d3b2c2ff2f89503a03d879"],"state_sha256":"23182c7391c459b9cfcf5bdf5849f8f1d03d66bdd5ab6af04fb70cc7ff34fdf7"}