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arXiv · hep-th/9706175

One loop in eleven dimensions

M. B. Green·M. Gutperle·P. Vanhove
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Abstract

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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M. B. Green, M. Gutperle, P. Vanhove. 1997-06-30. One loop in eleven dimensions. https://doi.org/10.1016/s0370-2693(97)00931-3

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