{"schema":"pubphys.bundle/1","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. 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