Three-Loop Superfiniteness of N=8 Supergravity

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

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/206644

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0702112
 http://arxiv.org/abs/hep-th/0702112
 Phys.Rev.Lett.98:161303,2007
 doi:10.1103/PhysRevLett.98.161303

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arXiv