Hierarchy of modular graph identities
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Publication:1636464
DOI10.1007/JHEP11(2016)051zbMath1390.81423arXiv1608.04393OpenAlexW2963574162MaRDI QIDQ1636464
Publication date: 12 June 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.04393
Related Items (39)
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Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- The multiple zeta value data mine
- Two-loop superstrings. VI: Nonrenormalization theorems and the 4-point function.
- Multiparticle one-loop amplitudes and S-duality in closed superstring theory
- The closed-string 3-loop amplitude and S-duality
- Two-loop superstrings and \(S\)-duality
- Multiple harmonic series
- Effects of D-instantons
- The box graph in superstring theory
- Two-loop superstrings. II: The chiral measure on moduli space
- Modular graph functions
- Eisenstein series and string thresholds.
- Single-valued multiple zeta values in genus \(1\) superstring amplitudes
- On the modular structure of the genus-one type II superstring low energy expansion
- Gross-Schoen cycles and dualising sheaves
- Poisson equation for the Mercedes diagram in string theory at genus one
- Polylogarithms, multiple zeta values and superstring amplitudes
- Motivic multiple zeta values and superstring amplitudes
- Proving relations between modular graph functions
- Poisson equation for the three-loop ladder diagram in string theory at genus one
- Relations between elliptic multiple zeta values and a special derivation algebra
- Momentum analyticity and finiteness of the 1-loop superstring amplitude
- Special values of multiple polylogarithms
- Algebraic relations for multiple zeta values
- Simplifying the one-loop five graviton amplitude in type IIB string theory
- Closed superstring amplitudes, single-valued multiple zeta values and the Deligne associator
- SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES
- Multiple zeta values: an introduction
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