2010

String theory dualities and supergravity divergences

Green, Michael B., Russo, Jorge G., Vanhove, Pierre

Understand

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.

Built on

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Original
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Similar

E. Kiritsis and B. Pioline, “On R 4 R^{4} threshold corrections in type IIB string theory and (p,q) string instantons,” Nucl. Phys. B 508
1997
Cited alongside, same era.
Z. Bern, L. J. Dixon, D. C. Dunbar, M. Perelstein and J. S. Rozowsky, “On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences,” Nucl. Phys. B 530
1998
Cited alongside, same era.
M. B. Green and S. Sethi, “Supersymmetry constraints on type IIB supergravity,” Phys. Rev. D 59
1999
Cited alongside, same era.
M. B. Green, H. h. Kwon and P. Vanhove, “Two loops in eleven dimensions,” Phys. Rev. D 61
2000
Cited alongside, same era.
B. Pioline and E. Kiritsis, “U-Duality and D-Brane Combinatorics,” Phys. Lett. B 418
2000
Cited alongside, same era.
A. Sinha, “The G-hat**4 lambda**16 term in IIB supergravity,” JHEP 0208
2002
Cited alongside, same era.
M. B. Green and P. Vanhove, “Duality and higher derivative terms in M theory,” JHEP 0601
2006
Cited alongside, same era.
N. D. Lambert and P. C. West, “Coset symmetries in dimensionally reduced bosonic string theory,” Nucl. Phys. B 615
2007
Cited alongside, same era.
M. B. Green, H. Ooguri and J. H. Schwarz, “Decoupling Supergravity from the Superstring,” Phys. Rev. Lett. 99
Original
2007
Cited alongside, same era.
M. B. Green, J. G. Russo and P. Vanhove, “Automorphic properties of low energy string amplitudes in various dimensions”, arXiv:1001.2535 [hep-th]
Original
Cited in the paper.
A. Basu, “The D 6 R 4 D^{6}R^{4} term in type IIB string theory on T 2 T^{2} and U-duality,” arXiv:0712.1252 [hep-th]
Original
Cited in the paper.
B. Pioline, “ R 4 R^{4} Couplings and Automorphic Unipotent Representations,” arXiv:1001.3647 [hep-th]
Original
Cited in the paper.

Then

M. B. Green, J. G. Russo and P. Vanhove, “Non-renormalisation conditions in type II string theory and maximal supergravity,” JHEP 0702
2007
Later among the works it cites.
Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson, D. A. Kosower and R. Roiban, “Three-Loop Superfiniteness of 𝒩 = 8 {\mathcal{N}}\!=8 Supergravity,” Phys. Rev. Lett. 98
2007
Later among the works it cites.
N. Berkovits, “New higher-derivative R**4 theorems,” Phys. Rev. Lett. 98
2007
Later among the works it cites.
M. B. Green, J. G. Russo and P. Vanhove, “Ultraviolet properties of maximal supergravity,” Phys. Rev. Lett. 98
2007
Later among the works it cites.
M. B. Green, J. G. Russo and P. Vanhove, “Modular properties of two-loop maximal supergravity and connections with string theory,” JHEP 0807
Original
2008
Later among the works it cites.
A. Basu, “The D 4 R 4 Term in Type IIB String Theory on T 2 and U-Duality,” Phys. Rev. D 77
Original
2008
Later among the works it cites.
A. Basu and S. Sethi, “Recursion Relations from Space-time Supersymmetry,” JHEP 0809
Original
2008
Later among the works it cites.
Z. Bern, J. J. M. Carrasco, L. J. Dixon, H. Johansson and R. Roiban, “Manifest Ultraviolet Behavior for the Three-Loop Four-Point Amplitude of N=8 Supergravity,” Phys. Rev. D 78
Original
2008
Later among the works it cites.
M. B. Green, J. G. Russo and P. Vanhove, “Low energy expansion of the four-particle genus-one amplitude in type II superstring theory,” JHEP 0802
Original
2008
Later among the works it cites.

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