One loop in eleven dimensions

Details One loop in eleven dimensions One loop in eleven dimensions

1997-06-25

arxiv.org/abs/hep-th/9706175v2

Phys.Lett.B409:177-184,1997

Physics

High Energy Physics

High Energy Physics - Theory

harvmac (b) 12 pages. typos corrected and a reference added

Scientific paper

10.1016/S0370-2693(97)00931-3

Four-graviton scattering in eleven-dimensional supergravity is considered at one loop compactified on one, two and three-dimensional tori. The dependence on the toroidal geometry determines the known perturbative and non-perturbative terms in the corresponding processes in type II superstring theories in ten, nine and eight dimensions. The ultra-violet divergence must be regularized so that it has a precisely determined finite value that is consistent both with T-duality in nine dimensions and with eleven-dimensional supersymmetry.

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