One loop in eleven dimensions
High Energy Physics - Theory
2010-11-19 v2
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.
Cite
@article{arxiv.hep-th/9706175,
title = {One loop in eleven dimensions},
author = {M. B. Green and M. Gutperle and P. Vanhove},
journal= {arXiv preprint arXiv:hep-th/9706175},
year = {2010}
}
Comments
harvmac (b) 12 pages. typos corrected and a reference added