Abstract
We 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 \( {\partial^{2k}}{\mathcal{R}^4} \), 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.
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Green, M.B., Russo, J.G. & Vanhove, P. String theory dualities and supergravity divergences. J. High Energ. Phys. 2010, 75 (2010). https://doi.org/10.1007/JHEP06(2010)075
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DOI: https://doi.org/10.1007/JHEP06(2010)075