2007/02/28 by Zvi Bern, Z. Bern, J. J. Carrasco +9 · 279 citations
Mathematics · Physics and Astronomy · #Algorithm #Amplitude #Black Holes and Theoretical Physics #Divergence (linguistics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics #Particle physics theoretical and experimental studies #Philosophy #Physics #Quantum mechanics #Statistics #Supergravity #Supersymmetry #Unitarity #hep-th
paper · pdf · doi:10.1103/physrevlett.98.161303
published in Physical Review Letters 98(16), 161303 (American Physical Society) · 5 pages, 4 figures. In v2 references and minor clarifications added
openalex publication_date 2007/04/19 · arxiv created 2007/07/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.