{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"1759d46f3c6a1eb24fe64aa7823eb4f3e23f791325f5981a205f804f96b3e842","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["bd665f6512a075226bcf3e486f6b8fee99baff2e09feb7c38044c62257b92f34","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"2411b61bb4ecbe661c588ebaa085e1f3045db77aba4bcea751d3fb5d4089cba9","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":"2","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":"bd665f6512a075226bcf3e486f6b8fee99baff2e09feb7c38044c62257b92f34","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":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"69df2dd354e8ad8a652e2614667768554416d14cb27694ba8c0b1485e09603d5","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"8c907342b34558508f50f9db97c2be3bf1f08d5ca1b17160ce0710d9f7706771","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"q_rw9JC-QO_1WFgnpDIsVH5gC39-8mhoZ6lihTjQ5KiKSILXxU3inpRAW8SiDHuXC6bPJNrXBCHM24d6zaahCA"},"schema":"pubphys.envelope/1"},"record_hash":"69df2dd354e8ad8a652e2614667768554416d14cb27694ba8c0b1485e09603d5","leaf_index":3658}