Cancellations Beyond Finiteness inN=8Supergravity at Three Loops | Zendy

Zvi Bern | Zendy; John Joseph M. Carrasco | Zendy; Lance J. Dixon | Zendy; Henrik Johansson | Zendy; David A. Kosower | Zendy; Radu Roiban | Zendy

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Cancellations Beyond Finiteness inN=8Supergravity at Three Loops

Author(s) -

Zvi Bern,

John Joseph M. Carrasco,

Lance J. Dixon,

Henrik Johansson,

David A. Kosower,

Radu Roiban

Publication year - 2007

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.98.161303

Subject(s) - supergravity , unitarity , physics , amplitude , mathematical physics , divergence (linguistics) , supersymmetry , statistics , particle physics , algorithm , quantum mechanics , mathematics , philosophy , linguistics

We construct the three-loop four-point amplitude of N=8 supergravity usingthe unitarity method. The amplitude is ultraviolet finite in four dimensions.Novel cancellations, not predicted by traditional superspace power-countingarguments, render its degree of divergence in D dimensions to be no worse thanthat of N=4 super-Yang-Mills theory -- a finite theory in four dimensions.Similar cancellations can be identified at all loop orders in certain unitaritycuts, suggesting that N=8 supergravity may be a perturbatively finite theory ofquantum gravity.Comment: 5 pages, 4 figures. In v2 references and minor clarifications adde

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