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Ultraviolet properties of maximal supergravity.

Michael B Green1, Jorge G Russo, Pierre Vanhove

  • 1Department of Applied Mathematics and Theoretical Physics, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.

Physical Review Letters
|May 16, 2007
PubMed
Summary
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String perturbation theory suggests N=8 supergravity

Area of Science:

  • Theoretical physics
  • Quantum gravity
  • String theory

Background:

  • N=8 supergravity is a maximally supersymmetric theory in four dimensions.
  • Investigating the ultraviolet (UV) finiteness of quantum field theories is crucial for their consistency.
  • String perturbation theory provides a framework for studying quantum gravity amplitudes.

Purpose of the Study:

  • To investigate the ultraviolet finiteness of the four-graviton amplitude in four-dimensional N=8 supergravity.
  • To explore the general conditions for the finiteness of M-graviton amplitudes at h loops.

Main Methods:

  • Analysis of recent results within string perturbation theory.
  • Extrapolation of known finiteness properties to higher loop orders and higher-point amplitudes.

Related Experiment Videos

Main Results:

  • Evidence suggests the four-graviton amplitude is ultraviolet finite up to eight loops.
  • The M-graviton amplitude is potentially finite for h loops when h < 7 + M/2.

Conclusions:

  • The findings support the hypothesis that N=8 supergravity may be ultraviolet finite to high loop orders.
  • This suggests a high degree of cancellation of divergences due to maximal supersymmetry and string theory structure.