The Ultraviolet Behavior of N=8 Supergravity at Four Loops
Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson, R. Roiban
TL;DR
This paper constructs the complete four-loop four-particle amplitude of N=8 supergravity, demonstrating its ultraviolet finiteness in multiple dimensions and providing evidence for all-order finiteness.
Contribution
It presents the first complete four-loop amplitude calculation for N=8 supergravity, revealing unexpected cancellations suggesting potential all-order ultraviolet finiteness.
Findings
Amplitude is ultraviolet finite in four and five dimensions
Extra cancellations support all-order finiteness conjecture
Provides new evidence for the ultraviolet behavior of supergravity
Abstract
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 non-trivial evidence that N=8 supergravity in four dimensions may be ultraviolet finite to all orders of perturbation theory.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.