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arxiv: 0905.2326 · v2 · pith:4XKMDGMDnew · submitted 2009-05-14 · ✦ hep-th

The Ultraviolet Behavior of N=8 Supergravity at Four Loops

classification ✦ hep-th
keywords dimensionsfoursupergravityultravioletamplitudefiniteadditionalbehavior
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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 non-trivial evidence that N=8 supergravity in four dimensions may be ultraviolet finite to all orders of perturbation theory.

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