Genus-zero and genus-one string amplitudes and special multiple zeta values

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G. Veneziano · 1968

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Alternative constructions of crossing-symmetric amplitudes with Regge behaviour

M.A. Virasoro · 1969

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Electrostatic analog for the virasoro model

J. A. Shapiro · 1979

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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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A relation between tree amplitudes of closed and open strings

H. Kawai, D.C. Lewellen, and S.H. H. Tye · 1986

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Superstring theory. vol. 2: Loop amplitudes, anomalies and phenomenology

M.B. Green, J.H. Schwarz, and E. Witten · 1987

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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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Double zeta values and modular forms

H. Gangl, M. Kaneko, and D. Zagier · 2006

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Iterated integrals of modular forms and noncommutative modular symbols

Y.I. Manin · 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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Multiple Modular Values and the relative completion of the fundamental group of 𝔐 1 , 1 \mathfrak{M}_{1,1}

Original

F. Brown · 2014

Cited alongside, same era.

Single-valued motivic periods and multiple zeta values

F. Brown · 2014

Cited alongside, same era.

Closed superstring amplitudes, single-valued multiple zeta values and Deligne associator

S. Stieberger · 2014

Cited alongside, same era.

Elliptic multiple zeta values and one-loop superstring amplitudes

J. Broedel, C.R. Mafra, N. Matthes, and O. Schlotterer · 2015

Cited alongside, same era.

On the modular structure of the genus-one type II superstring low energy expansion

Modular graph functions

E. D’Hoker, M.B. Green, Ö. Gürdoğan, and P. Vanhove · 2017

Later among the works it cites.

A class of non-holomorphic modular forms I

F. Brown · 2018

Later among the works it cites.

Single-valued integration and superstring amplitudes in genus zero

Original

F. Brown and C. Dupont · 2018

Later among the works it cites.

Closed string amplitudes from single-valued correlation functions

Original

P. Vanhove and F. Zerbini · 2018

Later among the works it cites.

Elliptic multiple zeta values, modular graph functions and superstring scattering amplitudes

F. Zerbini · 2018

Later among the works it cites.

From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop