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We study the modular graph functions introduced by Green, Russo, Vanhove in the context of type II superstring scattering amplitudes of 4 gravitons on a torus.
Construction of a crossing-symmetric, Regge behaved amplitude for linearly rising trajectories
G. Veneziano · 1968
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Alternative constructions of crossing-symmetric amplitudes with Regge behaviour
M.A. Virasoro · 1969
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N = 4 N=4 yang-mills and N = 8 N=8 supergravity as limits of string theories
L. Brink, M. B. Green, and J.H. Schwarz · 1982
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The low-energy expansion of the one loop type II superstring amplitude
M. B. Green and P. Vanhove · 2000
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Single-valued multiple polylogarithms in one variable
F. Brown · 2004
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Rational convex cones and cyclotomic multiple zeta values
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Périodes des espaces des modules M ¯ 0 , n \overline{M}_{0,n} et valeurs zêtas multiples
Francis C. S. Brown · 2006
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Low energy expansion of the four-particle genus-one amplitude in type II superstring theory
M. B. Green, J. G. Russo, and P. Vanhove · 2008
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On the periods of some Feynman integrals
F. Brown · 2009
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Multiparticle one-loop amplitudes and S-duality in closed superstring theory
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O. Schlotterer and S. Stieberger · 2013
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Conical zeta values and their double subdivision relations
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Elliptic multiple zeta values and one-loop superstring amplitudes
J. Broedel, C. R. Mafra, N. Matthes, and O. Schlotterer · 2015
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E. D’Hoker, M.B. Green, Ö. Gürdoğan and P. Vanhove · 2015
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Matching the D 6 R 4 D^{6}R^{4} interaction at two-loops
E. D’Hoker, M.B. Green, B. Pioline, and R. Russo · 2015
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On the modular structure of the genus-one type II superstring low energy expansion
E. D’Hoker, M.B. Green, and P. Vanhove · 2015
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Single-valued motivic periods and multiple zeta values
F. Brown · 2014
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Evaluation of S(m,n). Appendix to [ 18 ]
D. Zagier
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S L ( 2 , ℤ ) {SL}(2,\mathbb{Z}) -invariance and D-instanton contributions to the D 6 R 4 D^{6}R^{4} interaction
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