Ultraviolet behavior of N = 8 supergravity at four loops

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 nontrivial evidence that N=8 supergravity in four...

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Bibliographic Details
Published in:Physical review letters 2009-08, Vol.103 (8), p.081301-081301, Article 081301
Main Authors: Bern, Z, Carrasco, J J M, Dixon, L J, Johansson, H, Roiban, R
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
ELECTROMAGNETIC RADIATION
FIELD THEORIES
PERTURBATION THEORY
RADIATIONS
SUPERGRAVITY
ULTRAVIOLET RADIATION
UNIFIED-FIELD THEORIES
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Summary: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 nontrivial evidence that N=8 supergravity in four dimensions may be ultraviolet finite to all orders of perturbation theory.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.103.081301