{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"ba3f4404e8073a0a89b3a5965352a29bf1af796f2d749037f7f55d16333cb882","created":"2026-10-03T07:18:09Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011","58f77c198be1165fdc55c5084d2c2dd835170023bcec77423b26fa6e0bd92e59"],"salt":"920ac79400ae9389e988f241c779b3a5ffceab488465dcd205f8934ef937bd57","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":"1","parents":[{"note":"Seven-loop finiteness is the first critical case of all-loop finiteness","parent_revision":"58f77c198be1165fdc55c5084d2c2dd835170023bcec77423b26fa6e0bd92e59","relation":"special_case"}],"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":null,"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":"1423f8d1d6c45d6696107efe735144c4230462c57b3f02acac8489226faee33e"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"7676564dc774576b3113e2e840d25cfd68069b83bf8f9a9ff4ac72a112bc93aa","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"b2a279e34ec8c4ef29451cb13247637bb8fc193ce430fba63fe6c7d2d2a4588b","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"9b9c8fOT7VZses4DAodPlrs89a93C8Ng2EqAMO-baehpwtNzQ1sHORMi7RBvYI_6rl9Fk7VqRuossZbj2AlMAQ"},"schema":"pubphys.envelope/1"},"record_hash":"7676564dc774576b3113e2e840d25cfd68069b83bf8f9a9ff4ac72a112bc93aa","leaf_index":1908}