The Ultraviolet Behavior of N=8 Supergravity at Four Loops

Details The Ultraviolet Behavior of N=8 Supergravity at Four Loops The Ultraviolet Behavior of N=8 Supergravity at Four Loops

2009-05-14

arxiv.org/abs/0905.2326v2

Phys.Rev.Lett.103:081301,2009

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 4 figures. v2 contains minor corrections, including flipping sign of eq. (1). Complete results, including mathematica

Scientific paper

10.1103/PhysRevLett.103.081301

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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