Publication : t06/156

Ultraviolet Properties of Maximal Supergravity

Green M.B. (Department of Applied Mathematics and Theoretical Physics (DAMTP), Center for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, England UNITED KINGDOM (UK))
Russo J.G. (Institució Catalana de Recerca i Estudis Avançats (ICREA) University of Barcelona, Av.Diagonal 647, Barcelona 08028, SPAIN)
Vanhove P. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
In a recent paper we suggested that the dualities of M-theory might imply that the four-graviton amplitude of four-dimensional $N=8$ supergravity is ultraviolet finite in four dimensions. In this paper we argue that even without invoking duality conjectures, but by making direct use of string perturbation theory as a covariant ultraviolet regulator, the four-graviton amplitude of four-dimensional $N=8$ supergravity should be ultraviolet finite up to at least eight loops. We further argue that the $h$-loop $M$-graviton amplitude should be finite for $h<7+M/2$.
Année de publication : 2007
Revue : Phys. Rev. Lett. 98 131602 (2007)
DOI : 10.1103/PhysRevLett.98.131602
Preprint : arXiv:hep-th/0611273
PACS : 11.25.-w, 04.65.+e, 11.25.Db
Numéro Exterieur : DAMTP-2006-116 ; UB-ECM-PF-06-40 ; hal-00116796
Langue : Anglais

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