2010/02/28 by Michael B. Green, Jorge G. Russo, Pierre Vanhove · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep06(2010)075
published as JHEP 1006:075,2010 · 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
arxiv created 2013/10/24 · arxiv updated 2013/10/25
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 D2kR4, 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.