Ultraviolet behavior of N=8 supergravity at four loops

Z. Bern*, John Joseph Carrasco, L. J. Dixon, H. Johansson, R. Roiban

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

217 Scopus citations


We describe the construction of the complete four-loop four-particle amplitude of N=8 supergravity. The amplitude is ultraviolet finite, not only in four dimensions, but in five dimensions as well. The observed extra cancellations provide additional nontrivial evidence that N=8 supergravity in four dimensions may be ultraviolet finite to all orders of perturbation theory.

Original languageEnglish (US)
Article number081301
JournalPhysical review letters
Issue number8
StatePublished - Aug 17 2009

ASJC Scopus subject areas

  • General Physics and Astronomy


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