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String theory dualities and supergravity divergences

String theory dualities and supergravity divergences,10.1007/JHEP06(2010)075,Journal of High Energy Physics,Michael B. Green,Jorge G. Russo,Pierre Van

String theory dualities and supergravity divergences   (Citations: 7)
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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 , 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.
Journal: Journal of High Energy Physics - J HIGH ENERGY PHYS , vol. 2010, no. 6, pp. 1-27, 2010
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    • ...The subsequent release of [21] prompted me to further study the consistency of the conjectures herein under decompactification from D to D + 1 dimensions...
    • ...The results of this investigation, based on [19, 21] and results available in the mathematical literature [22, 23], are presented in an appendix...
    • ...∇R4 in this limit has been recently spelled out in [19, 21], while the behavior of the proposed automorphic forms can be studied using results available in the mathematical literature [22, 23] for the constant terms of certain degenerate Eisenstein series under various parabolic subgroups...
    • ...Let us now compare with the decompactification limit of R 4 couplings [21],...
    • ...The relations above are consistent with the conjectures in [9, 19, 21]...
    • ...Let us now compare to the decompactification limit of ∇ 4 R 4 couplings [21],...

    Boris Pioline. R 4 couplings and automorphic unipotent representations

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