{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"6e8dbc6c80ff203db0af37b93824f0d5fb64bece41aba30d13699aa5941a0cc3","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["7676564dc774576b3113e2e840d25cfd68069b83bf8f9a9ff4ac72a112bc93aa","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"28a6260ffe7b191b06111e9811c79e2f26d02ef29fd755ca472b3aadac09622f","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"qft.double-copy.n8-finiteness","kind":"well-posed","literature_status":"open","n":"2","parents":[],"plain":"$N=8$ supergravity is the most symmetric theory of gravity in four dimensions and might lack the infinities that ruin ordinary quantum gravity. Known symmetries first allow an infinity at seven loops, a calculation not yet done.","posed_since":"2006","precise":"Compute the coefficient of the seven-loop logarithmic ultraviolet divergence (the $D^{8}R^{4}$ counterterm) of the four-graviton amplitude in $D=4$ $N=8$ supergravity, or prove it vanishes. The highest computed order gives critical dimension $D_{c}=24/5$ at five loops (Bern et al., Phys. Rev. D 98, 086021, 2018).","problem_ref":"7676564dc774576b3113e2e840d25cfd68069b83bf8f9a9ff4ac72a112bc93aa","references":"","settled_by":"Construction of the seven-loop four-graviton integrand and extraction of its $D = 4$ ultraviolet divergence, or a symmetry argument forbidding the counterterm.","status_note":"No six- or seven-loop result reported as of 2026.","title":"Is four-dimensional $N=8$ supergravity ultraviolet finite at seven loops?","topic_ref":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"e8ecca234519aa4a50e932f6050caf44a1c965930f40720d4deb90e2ace6051a","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"9788c0debb2bd864303a506b56e6ee0947b255b57a7c506698061547b77e36c1","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"6yqpUre7af_DN8-EsiSAZ11wjV-4yizgETdTFxPRVg09mMiMrOlP4eiuZrm8laUvgwfx_UfNGfWiNYXoniw6CQ"},"schema":"pubphys.envelope/1"},"record_hash":"e8ecca234519aa4a50e932f6050caf44a1c965930f40720d4deb90e2ace6051a","leaf_index":3644}