Asymptotics of the $D^8 R^4$ genus-two string invariant

J. D. Fay, “Theta functions on Riemann surfaces,” Lecture Notes in Math

1973

Earlier work this paper cites.

M. B. Green and J. H. Schwarz, “Supersymmetrical String Theories,” Phys. Lett

1982

Earlier work this paper cites.

L. Alvarez-Gaume, J. Bost, G. W. Moore, P. C. Nelson, and C. Vafa, “Bosonization on Higher Genus Riemann Surfaces,” Commun. Math. Phys

1987

Earlier work this paper cites.

E. D’Hoker and D. Phong, “The Geometry of String Perturbation Theory,” Rev. Mod. Phys

1988

Earlier work this paper cites.

D. Zagier, “The Bloch-Wigner-Ramakrishnan polylogarithm function.,” Math. Ann

1990

Earlier work this paper cites.

R. Wentworth, “The asymptotics of the Arakelov-Green’s function and Faltings’ delta invariant,” Comm. Math. Phys

1991

Earlier work this paper cites.

Z. Bern and D. A. Kosower, “The Computation of loop amplitudes in gauge theories,” Nucl. Phys

1992

Earlier work this paper cites.

M. G. Schmidt and C. Schubert, “Worldline Green functions for multiloop diagrams,” Phys. Lett

1994

Earlier work this paper cites.

E. D’Hoker and D. H. Phong, “The Box graph in superstring theory,” Nucl. Phys

1995

Earlier work this paper cites.

K. Roland and H.-T. Sato, “Multiloop worldline Green functions from string theory,” Nucl. Phys

1996

Earlier work this paper cites.

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

1998

Earlier work this paper cites.

M. B. Green and P. Vanhove, “The low energy expansion of the one-loop type II superstring amplitude,” Phys. Rev

2000

Earlier work this paper cites.

M. B. Green, H.-h. Kwon, and P. Vanhove, “Two loops in eleven dimensions,” Phys. Rev

2000

Earlier work this paper cites.

E. D’Hoker and D. H. Phong, “Two loop superstrings. 1. Main formulas,” Phys. Lett

2002

Earlier work this paper cites.

E. D’Hoker and D. H. Phong, “Two loop superstrings. 2. The Chiral measure on moduli space,” Nucl. Phys

2002

Earlier work this paper cites.

E. D’Hoker and D. Phong, “Lectures on two loop superstrings,” Conf.Proc

2002

Earlier work this paper cites.

E. D’Hoker and D. H. Phong, “Two-loop superstrings VI: Non-renormalization theorems and the 4-point function,” Nucl. Phys

2005

Cited alongside, same era.

E. D’Hoker, M. Gutperle, and D. H. Phong, “Two-loop superstrings and S-duality,” Nucl. Phys

2005

Cited alongside, same era.

N. Berkovits, “Super-Poincare covariant two-loop superstring amplitudes,” JHEP

2006

Cited alongside, same era.

N. Berkovits and C. R. Mafra, “Equivalence of two-loop superstring amplitudes in the pure spinor and RNS formalisms,” Phys. Rev. Lett

2006

Cited alongside, same era.

M. B. Green and P. Vanhove, “Duality and higher derivative terms in M theory,” JHEP

2006

Cited alongside, same era.

P. Dai and W. Siegel, “Worldline Green Functions for Arbitrary Feynman Diagrams,” Nucl. Phys

R. de Jong, “Asymptotic behavior of the Kawazumi-Zhang invariant for degenerating Riemann surfaces.,” Asian J. Math

2014

Later among the works it cites.

E. D’Hoker, M. B. Green, and P. Vanhove, “On the modular structure of the genus-one Type II superstring low energy expansion,” JHEP

Original

2015

Later among the works it cites.

E. D’Hoker, M. B. Green, B. Pioline, and R. Russo, “Matching the D 6 ​ R 4 D^{6}R^{4} interaction at two-loops,” JHEP

Original

2015

Later among the works it cites.

E. D’Hoker and M. B. Green, “Identities between Modular Graph Forms,” Journal of Number Theory

Original

2016

Later among the works it cites.

E. D’Hoker and J. Kaidi, “Hierarchy of Modular Graph Identities,” JHEP

Original