One loop in eleven dimensions
arXiv:hep-th/9706175 · doi:10.1016/S0370-2693(97)00931-3
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.
harvmac (b) 12 pages. typos corrected and a reference added