{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"45a66b11ce966d5e375c77c97105ff2af33cf20d586e1255405db7191d50ecd9","created":"2026-10-03T07:18:09Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"013d1b265abca247989b1cdb75bdb76d0652ba96a80bff9f1273fc92a1fbd934","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":"1","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":null,"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":"a8de1433c3e67a1501a86682e650f763fed755c7d64a2db5a831f9cb7611369e"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"7c7da32399e80bf043eaac4de4fc2d3057b74b6178a16bfe18668b3185953f6d","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"2198294d6832a1c40433edd2df89dd40ebab2e6082ae805f100086062ef7271e","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"vyfS3pS21wES3AJ3l6pqUS-xGSxegPXI0Cq-zoEfoX5uWvtaHagf2ZUs8f9c9ekgg8K9MCr_j7NJBX9ZXq_DCw"},"schema":"pubphys.envelope/1"},"record_hash":"7c7da32399e80bf043eaac4de4fc2d3057b74b6178a16bfe18668b3185953f6d","leaf_index":1950}