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)
Abstract:
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.98.131602Preprint :
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
Fichier(s) à télécharger : publi.pdf