{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"c530c33bfd0c579d0432f44ae8e3ffcce97b68018a99d92549e748540b64417c","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["7c7da32399e80bf043eaac4de4fc2d3057b74b6178a16bfe18668b3185953f6d","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"71bf4bbf036daa861b090d03d4185c135e15e50ee651664b95f87e2b70a44fbb","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":[],"external_id":"qft.spacetime-entanglement.holographic-cft-criteria","kind":"well-posed","literature_status":"partially-resolved","n":"2","parents":[],"plain":"Only special quantum theories behave as if they described a smooth curved space with ordinary gravity. The exact conditions that single them out are unknown.","posed_since":"2009","precise":"Heemskerk, Penedones, Polchinski and Sully (2009) conjectured that a CFT with large central charge $c$ and a large gap $\\Delta_{\\mathrm{gap}}$ to single-trace operators of spin greater than 2 has a local Einstein-gravity dual. Determine necessary and sufficient conditions on CFT data for a semiclassical local bulk, and prove or refute the conjecture.","problem_ref":"7c7da32399e80bf043eaac4de4fc2d3057b74b6178a16bfe18668b3185953f6d","references":"","settled_by":"A derivation from CFT axioms showing that large c and a large gap imply bulk locality and Einstein gravity at low energy, or a counterexample.","status_note":"Causality and bootstrap bounds (2016-2023) derived suppression of higher-derivative couplings by $\\Delta_{\\mathrm{gap}}$; a full proof is missing.","title":"Which conformal field theories have a semiclassical gravity dual?","topic_ref":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"2233f43199244c66db89de8d5ebe7ce8a5da58ed918c13517b9eb0ee555be7b5","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"e57f7aa9ab83862386d2906cbd9e3a3e1ba326c00b4acc2cfaecc5d16e304827","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"W4t4B64ZQk2QN3pMISYGnEMy-HLATMIH-AtEpgJKqLBH-yM3YAdpBfNP0ckwuk1IarcuX06naDlQ1fey6Dp5Bw"},"schema":"pubphys.envelope/1"},"record_hash":"2233f43199244c66db89de8d5ebe7ce8a5da58ed918c13517b9eb0ee555be7b5","leaf_index":3676}