Cancellations beyond finiteness in N=8 supergravity at three loops

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

*Corresponding author for this work

Research output: Contribution to journalArticle

212 Scopus citations

Abstract

We construct the three-loop four-point amplitude of N=8 supergravity using the unitarity method. The amplitude is ultraviolet finite in four dimensions. Novel cancellations, not predicted by traditional superspace power-counting arguments, render its degree of divergence in D dimensions no worse than that of N=4 super-Yang-Mills theory-a finite theory in four dimensions. Similar cancellations can be identified at all loop orders in certain unitarity cuts, suggesting that N=8 supergravity may be a perturbatively finite theory of quantum gravity.

Original languageEnglish (US)
Article number161303
JournalPhysical review letters
Volume98
Issue number16
DOIs
StatePublished - Apr 19 2007

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Cancellations beyond finiteness in N=8 supergravity at three loops'. Together they form a unique fingerprint.

  • Cite this