Polylogarithms, Multiple Zeta Values and Superstring Amplitudes

P. Frampton, “Dual Resonance Models,” Frontiers in Physics, Benjamin 1974

1974

Earlier work this paper cites.

R. Apéry, “Irrationalité de ζ ⁡ ( 2 ) \zeta(2) et ζ ⁡ ( 3 ) \zeta(3) ”. Astérisque 61 (1979): 11–13

1979

Earlier work this paper cites.

H. Kawai, D.C. Lewellen and S.H.H. Tye, “A Relation Between Tree Amplitudes of Closed and Open Strings,” Nucl. Phys. B 269

1986

Earlier work this paper cites.

R. Kleiss and H. Kuijf, “Multi - Gluon Cross-sections And Five Jet Production At Hadron Colliders,” Nucl. Phys. B312

1989

Earlier work this paper cites.

K. Aomoto, “Special values of hyperlogarithms and linear difference schemes,” Illinois J. Math. 34

1990

Earlier work this paper cites.

D. Zagier, “Values of zeta functions and their applications,” in First European Congress of Mathematics (Paris, 1992), Vol. II, A. Joseph et. al. (eds.), Birkhäuser, Basel, 1994, pp. 497-512

1994

Earlier work this paper cites.

Z. Bern, L.J. Dixon, M. Perelstein and J.S. Rozowsky, “Multileg one loop gravity amplitudes from gauge theory,” Nucl. Phys. B 546

1999

Earlier work this paper cites.

V. Del Duca, L.J. Dixon and F. Maltoni, “New color decompositions for gauge amplitudes at tree and loop level,” Nucl. Phys. B 571

2000

Earlier work this paper cites.

E. Remiddi and J.A.M. Vermaseren, “Harmonic polylogarithms,” Int. J. Mod. Phys. A 15

2000

Earlier work this paper cites.

N. Berkovits, “Super Poincare covariant quantization of the superstring,” JHEP 0004

2000

Earlier work this paper cites.

K. Ball and T. Rivoal, “Irrationalité d’une infinité de valeurs de la fonction zeta aux entiers impairs.” Invent. Math. 146

2001

Earlier work this paper cites.

T. Terasoma, “Selberg Integrals and Multiple Zeta Values”, Compositio Mathematica 133

2002

Earlier work this paper cites.

S. Stieberger and T.R. Taylor, “Amplitude for N-gluon superstring scattering,” Phys. Rev. Lett. 97

2006

Earlier work this paper cites.

S. Stieberger and T.R. Taylor, “Multi-gluon scattering in open superstring theory,” Phys. Rev. D 74

2006

Earlier work this paper cites.

F. Brown, “Périodes des espaces des modules 𝔐 ¯ 0 , n \overline{\mathfrak{M}}_{0,n} et multizetas,” C.R. .Acad. Sci. Paris, Ser. I. 342

Original

2006

Cited alongside, same era.

D. Maitre, “HPL, a mathematica implementation of the harmonic polylogarithms,” Comput. Phys. Commun. 174

2006

Cited alongside, same era.

Z. Bern, J.J.M. Carrasco and H. Johansson, “New Relations for Gauge-Theory Amplitudes,” Phys. Rev. D 78

Original

2008

Cited alongside, same era.

S. Stieberger and T.R. Taylor, “Complete Six-Gluon Disk Amplitude in Superstring Theory,” Nucl. Phys. B 801

Original

2008

Cited alongside, same era.

S. Stieberger and T.R. Taylor, “Supersymmetry Relations and MHV Amplitudes in Superstring Theory,” Nucl. Phys. B 793

Original

Z. Bern and T. Dennen, “A Color Dual Form for Gauge-Theory Amplitudes,” Phys. Rev. Lett. 107

Original

2011

Later among the works it cites.

N.E.J. Bjerrum-Bohr, P.H. Damgaard, T. Sondergaard and P. Vanhove, “The Momentum Kernel of Gauge and Gravity Theories,” JHEP 1101

Original

2011

Later among the works it cites.

F. Brown, “On the decomposition of motivic multiple zeta values,” in ‘Galois-Teichmüller Theory and Arithmetic Geometry’, Advanced Studies in Pure Mathematics 63 (2012) 31-58 [arXiv:1102.1310 [math.NT]]

Original

2012

Later among the works it cites.

Z. Bern, J.J.M. Carrasco, L.J. Dixon, H. Johansson and R. Roiban, “Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes,” Phys. Rev. D 85

Original

2012

Later among the works it cites.