Ultraviolet properties of maximal supergravity.

@article{Green2007UltravioletPO,
  title={Ultraviolet properties of maximal supergravity.},
  author={Michael B. Green and Jorge G. Russo and Pierre Vanhove},
  journal={Physical review letters},
  year={2007},
  volume={98 13},
  pages={131602}
}
We argue that recent results in string perturbation theory indicate that the four-graviton amplitude of four-dimensional N=8 supergravity might be ultraviolet finite up to eight loops. We similarly argue that the h-loop M-graviton amplitude might be finite for h<7+M/2. 
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