Publication : t06/127

Non-renormalisation Conditions in Type II String Theory and 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)
This paper considers general features of the derivative expansion of Feynman diagram contributions to the four-graviton scattering amplitude in eleven-dimensional supergravity compactified on a two-torus. These are translated into statements about interactions of the form D^2k R^4 in type II superstring theories, assuming the standard M-theory/string theory duality relationships, which provide powerful constraints on the effective interactions. In the ten-dimensional IIA limit we find that there can be no perturbative contributions beyond k string loops (for k>0). Furthermore, the genus h=k contributions are determined exactly by the one-loop eleven-dimensional supergravity amplitude for all values of k. A plausible interpretation of these observations is that the sum of h-loop Feynman diagrams of maximally extended supergravity is less divergent than might be expected and could be ultraviolet finite in dimensions d< 4 + 6/h -- the same bound as for N=4 Yang--Mills.
Année de publication : 2007
Revue : JHEP 0702 099 (2007)
DOI : 10.1088/1126-6708/2007/02/099
Preprint : arXiv:hep-th/0610299
Lien :
Keywords : Effective action; Superstring
Numéro Exterieur : DAMTP-2006-102 ; UB-ECM-PF-06-30
Langue : Anglais

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  • 1126-6708_2007_02_099.pdf
  • publi.pdf


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