{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"6fb7761f7550eca58799b213542630cfd88898ca38e27850d817dcab1feda131","created":"2026-10-03T07:18:05Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["05e4da055d00ca967f564973bc20b85087c81e5ba850b0661431ff996a221066","5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"38591d52afe72382cffee4b157e25032b3fb1a975f1e4540ecd24e45f5d8075e","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"grav.uv-completion.n8-supergravity-finiteness","kind":"well-posed","literature_status":"open","n":"1","parents":[{"note":"","parent_revision":"05e4da055d00ca967f564973bc20b85087c81e5ba850b0661431ff996a221066","relation":"special_case"}],"plain":"The most symmetric extension of Einstein gravity, $N=8$ supergravity, has unexpectedly mild short-distance behavior in explicit calculations. If it has no divergences at any order, it would be a finite perturbative quantum theory of gravity in four dimensions.","posed_since":"","precise":"Compute the UV behavior of the four-graviton amplitude of $N=8$ supergravity at $L$ loops. At five loops the first divergence appears in critical dimension $D_{c}=24/5>4$ (Bern et al. 2018). Determine whether a divergence appears in $D=4$ at seven loops, where a counterterm compatible with the $E7(7)$ symmetry first exists, or at any higher loop; an answer is the coefficient of the first potential $D=4$ divergence or an all-loop finiteness proof.","problem_ref":null,"references":"","settled_by":"An explicit seven-loop $D = 4$ computation of the four-graviton divergence, or a symmetry-based all-loop finiteness proof.","status_note":"The five-loop computation giving $D_c = 24/5$ (Bern et al., 2018) is the most recent explicit result; no $D = 4$ divergence has been computed as of 2026.","title":"Is four-dimensional $N=8$ supergravity ultraviolet finite to all 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