Ultraviolet properties of Maximal Supergravity

Abstract

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.

10 pages. v2 : Important qualifications inserted and typos corrected. v3: minor changes. References added. Version to be published

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