Phys. Rev. Lett. 103, 081301 (2009) [4 pages]

Ultraviolet Behavior of N=8 Supergravity at Four Loops

Abstract

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Z. Bern¹, J. J. M. Carrasco¹, L. J. Dixon², H. Johansson¹, and R. Roiban³
¹Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547, USA
²SLAC National Accelerator Laboratory, Stanford University, Stanford, California 94309, USA
³Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802, USA

Received 25 May 2009; published 17 August 2009

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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.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.103.081301

DOI:

10.1103/PhysRevLett.103.081301

PACS:

04.65.+e, 11.15.Bt, 11.25.Db, 12.60.Jv

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Phys. Rev. Lett. 103, 081301 (2009) [4 pages]

Ultraviolet Behavior of N=8 Supergravity at Four Loops