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Cancellations Beyond Finiteness in N=8 Supergravity at Three Loops

Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson, D. A. Kosower, and R. Roiban
Phys. Rev. Lett. 98, 161303 – Published 19 April 2007

Abstract

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.

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  • Received 19 February 2007

DOI:https://doi.org/10.1103/PhysRevLett.98.161303

©2007 American Physical Society

Authors & Affiliations

Z. Bern1, J. J. Carrasco1, L. J. Dixon2, H. Johansson1, D. A. Kosower3,4, and R. Roiban5

  • 1Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547, USA
  • 2Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309, USA
  • 3Service de Physique Théorique, CEA-Saclay, F-91191 Gif-sur-Yvette cedex, France
  • 4Institut für Theoretische Physik, Universität Zürich, CH-8057 Zürich, Switzerland
  • 5Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802, USA

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Issue

Vol. 98, Iss. 16 — 20 April 2007

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