Three-Loop Superfiniteness of N=8 Supergravity

Details Three-Loop Superfiniteness of N=8 Supergravity Three-Loop Superfiniteness of N=8 Supergravity

2007-02-14

arxiv.org/abs/hep-th/0702112v2

Phys.Rev.Lett.98:161303,2007

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 4 figures. In v2 references and minor clarifications added

Scientific paper

10.1103/PhysRevLett.98.161303

We construct the three-loop four-point amplitude of N=8 supergravity using the unitarity method. The amplitude is ultraviolet finite in four dimensions. Novel cancellations, not predicted by traditional superspace power-counting arguments, render its degree of divergence in D dimensions to be no worse than that of N=4 super-Yang-Mills theory -- a finite theory in four dimensions. Similar cancellations can be identified at all loop orders in certain unitarity cuts, suggesting that N=8 supergravity may be a perturbatively finite theory of quantum gravity.

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