Green, Michael B.Russo, J. G. (Jorge Guillermo)Vanhove, Pierre2012-02-102012-02-1020101029-8479https://hdl.handle.net/2445/21976We demonstrate how duality invariance of the low energy expansion of the four-supergraviton 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 ¿2k R4, 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.27 p.application/pdfengcc-by-nc, (c) Green et al., 2010http://creativecommons.org/licenses/by-nc/2.5/Física nuclearPartícules (Física nuclear)Nuclear physicsParticles (Nuclear physics)info:eu-repo/semantics/article592768info:eu-repo/semantics/openAccess