String theory dualities and supergravity divergences
High Energy Physics - Theory
2013-10-25 v3
Abstract
We demonstrate how duality invariance of the low energy expansion of the four-graviton amplitude in type II string theory determines the precise coefficients of multiloop logarithmic ultraviolet divergences of maximal supergravity in various dimensions. This is illustrated by the explicit moduli-dependence of terms of the form D^{2k}R^4, with k<= 3, in the effective action. Furthermore, we show that in the supergravity limit the perturbative contributions are swamped by an accumulation of non-perturbative effects of zero-action instantons.
Cite
@article{arxiv.1002.3805,
title = {String theory dualities and supergravity divergences},
author = {Michael B. Green and Jorge G. Russo and Pierre Vanhove},
journal= {arXiv preprint arXiv:1002.3805},
year = {2013}
}
Comments
Latex. 27 pages. 1 figures. v2: Typos corrected and small clarifications. v3: This is the published version that contains minors corrections to the previous arXiv version