Cancellations beyond finiteness in N=8 supergravity at three loops

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

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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
Issue number16
StatePublished - Apr 19 2007

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Bern, Z., Carrasco, J. J., Dixon, L. J., Johansson, H., Kosower, D. A., & Roiban, R. (2007). Cancellations beyond finiteness in N=8 supergravity at three loops. Physical Review Letters, 98(16), [161303].