{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"ad9a8f7a8f90985680bb44d6e97f59c48591b7235aa49cabf51fed6d6a07ab8c","created":"2026-10-03T07:18:09Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"bb5d9ffbcd3a2c2f91edd4d495fc145a847399e1e30fc90fa8101e2ed852bda5","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"qft.non-ads-holography.celestial-cft","kind":"well-posed","literature_status":"partially-resolved","n":"1","parents":[],"plain":"Scattering of particles in flat space can be rewritten as correlations on a sphere at infinity. Whether these correlations form a self-consistent quantum theory on that sphere is unknown.","posed_since":"2016","precise":"Celestial holography maps the 4D asymptotically flat S-matrix, via a Mellin transform in energy, to correlators on the celestial sphere. Determine whether for Einstein gravity beyond tree level these correlators form a CFT with a local operator algebra, OPE and state-operator map, and find an intrinsic definition independent of the bulk.","problem_ref":null,"references":"","settled_by":"An intrinsic 2D construction reproducing loop-level gravitational amplitudes, or a proof that the required CFT axioms fail.","status_note":"A top-down dual, a 2D chiral algebra, exists for a self-dual-type theory (Mabuchi gravity coupled to a 4D WZW model) on Burns space (Costello, Paquette, Sharma 2022-2023); full Einstein gravity remains open.","title":"Is there a consistent celestial CFT for four-dimensional gravity","topic_ref":"4447f2d48104cd4793e366a0c17a947b19173f616f89b118e14ec361109b57ad"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"bd665f6512a075226bcf3e486f6b8fee99baff2e09feb7c38044c62257b92f34","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"ab0d5afa1e46a8056b95bcbd559aafad64147585e96d10c9092b75f32bc3da4b","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"Lc76I2vjQHxAAKdoK-Fx-mL10utlaLvVLQ7NWXSEg6e4F8jFL_4DFwKMaa6nX_bLeevGUuV8S8XlwgjUAcakBw"},"schema":"pubphys.envelope/1"},"record_hash":"bd665f6512a075226bcf3e486f6b8fee99baff2e09feb7c38044c62257b92f34","leaf_index":1927}