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Ultraviolet Behavior of N=8 Supergravity at Four Loops

Z. Bern, J. J. M. Carrasco, L. J. Dixon, H. Johansson, and R. Roiban
Phys. Rev. Lett. 103, 081301 – Published 17 August 2009
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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 nontrivial evidence that N=8 supergravity in four dimensions may be ultraviolet finite to all orders of perturbation theory.

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  • Received 25 May 2009

DOI:https://doi.org/10.1103/PhysRevLett.103.081301

©2009 American Physical Society

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Vanquishing infinity

Published 17 August 2009

Quantum field theoretic extensions of Einstein’s theory of gravity tend to suffer from incurable infinities, but a theory called N=8 supergravity may actually avoid them—against expectations held for almost 30 years.

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Authors & Affiliations

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

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Issue

Vol. 103, Iss. 8 — 21 August 2009

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