Is N=8 supergravity ultraviolet finite?

@article{Bern2007IsNS,
  title={Is N=8 supergravity ultraviolet finite?},
  author={Z. Bern and L. Dixon and R. Roiban},
  journal={Physics Letters B},
  year={2007},
  volume={644},
  pages={265-271}
}
Conventional wisdom holds that no four-dimensional gravity field theory can be ultraviolet finite. This understanding is based mainly on power counting. Recent studies confirm that one-loop N = 8 supergravity amplitudes satisfy the so-called 'no-triangle hypothesis', which states that triangle and bubble integrals cancel from these amplitudes. A consequence of this hypothesis is that for any number of external legs, at one loop N = 8 supergravity and N = 4 super-Yang-Mills have identical… Expand

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