{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:VRL5YZ6FJL6WCLIEMDTBTC5VSD","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":"d9339b5a97c835289d0c63f600a26220f8c2a713f64de1e630f5a8c4eac457f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-24T17:23:04Z","title_canon_sha256":"9473e2fa1f182cede8a3d054c131166dd853e187260dab206645ae9de7bfeed3"},"schema_version":"1.0","source":{"id":"2006.13892","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.13892","created_at":"2026-07-05T01:13:21Z"},{"alias_kind":"arxiv_version","alias_value":"2006.13892v1","created_at":"2026-07-05T01:13:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.13892","created_at":"2026-07-05T01:13:21Z"},{"alias_kind":"pith_short_12","alias_value":"VRL5YZ6FJL6W","created_at":"2026-07-05T01:13:21Z"},{"alias_kind":"pith_short_16","alias_value":"VRL5YZ6FJL6WCLIE","created_at":"2026-07-05T01:13:21Z"},{"alias_kind":"pith_short_8","alias_value":"VRL5YZ6F","created_at":"2026-07-05T01:13:21Z"}],"graph_snapshots":[{"event_id":"sha256:d6e7efc0adf57edba8ad5e83697648618dcedd7fd669e5d245835870bf04818c","target":"graph","created_at":"2026-07-05T01:13:21Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2006.13892/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Any four-dimensional $\\mathcal{N} \\geqslant 2$ superconformal field theory possess a protected subsector isomorphic to a two-dimensional chiral algebra \\cite{Beem:2013sza}. The goal of these lectures is to provide an introduction to the subject, covering the construction of the chiral algebras, the consequences for four-dimensional physics, as well as a brief summary of recent progress. This is the writeup of the lectures given at the Winter School \"YRISW 2020\" to appear in a special issue of JPhysA.","authors_text":"Madalena Lemos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-24T17:23:04Z","title":"Lectures on chiral algebras of $\\mathcal{N} \\geqslant 2$ superconformal field theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.13892","kind":"arxiv","version":1},"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":"sha256:4b1d47ccba85bc2a44199ab107e7111e33a835bfb7f9b441d0d41572bcf78584","target":"record","created_at":"2026-07-05T01:13:21Z","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":"d9339b5a97c835289d0c63f600a26220f8c2a713f64de1e630f5a8c4eac457f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-06-24T17:23:04Z","title_canon_sha256":"9473e2fa1f182cede8a3d054c131166dd853e187260dab206645ae9de7bfeed3"},"schema_version":"1.0","source":{"id":"2006.13892","kind":"arxiv","version":1}},"canonical_sha256":"ac57dc67c54afd612d0460e6198bb590cd60dd74fefddee5acc0c24415660f9c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac57dc67c54afd612d0460e6198bb590cd60dd74fefddee5acc0c24415660f9c","first_computed_at":"2026-07-05T01:13:21.031264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:13:21.031264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FCQGv15AIsySdG2as/+yXFJUc6OLXISh4z0aW3ouYTJoUOk8z1YVH2YXf3gY1e719X7E/8zWaJ5K8mS/Ev/nCg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:13:21.031828Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.13892","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b1d47ccba85bc2a44199ab107e7111e33a835bfb7f9b441d0d41572bcf78584","sha256:d6e7efc0adf57edba8ad5e83697648618dcedd7fd669e5d245835870bf04818c"],"state_sha256":"e65f159a352a89e25c5d1905ce81264ac8c445b9c7523d282d2cb00f21dc34f8"}