Three-Loop Superfiniteness of N=8 Supergravity

Journal Article · Tue Feb 20 00:00:00 EST 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.98.161303· OSTI ID:899844

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

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 to be 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.

• Research Organization: SLAC National Accelerator Lab., Menlo Park, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 899844
• Report Number(s): SLAC-PUB-12341; hep-th/0702112; TRN: US200709%%150
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
DIMENSIONS
QUANTUM GRAVITY
SUPERGRAVITY
UNITARITY
Theory-HEP
HEPPH
HEPTH