Integral of two-loop modular graph functions

DOI10.1007/JHEP06(2019)092zbMath1416.83115arXiv1905.06217OpenAlexW2963185424WikidataQ127636998 ScholiaQ127636998MaRDI QIDQ2314945

Eric D'Hoker

Publication date: 30 July 2019

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.06217

zbMATH Keywords

scattering amplitudessuperstrings and heterotic strings

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) (2)-body potential quantum scattering theory (81U05)

Related Items (16)

Zero mode of the Fourier series of some modular graphs from Poincaré series ⋮ Towards closed strings as single-valued open strings at genus one ⋮ All-order differential equations for one-loop closed-string integrals and modular graph forms ⋮ Transcendentality violation in type IIB string amplitudes ⋮ One-loop open-string integrals from differential equations: all-order \(\alpha '\)-expansions at \(n\) points ⋮ Scalar‐valued depth two Eichler–Shimura integrals of cusp forms ⋮ Two string theory flavours of generalised Eisenstein series ⋮ To the cusp and back: resurgent analysis for modular graph functions ⋮ Generating series of all modular graph forms from iterated Eisenstein integrals ⋮ Harmonic analysis of 2d CFT partition functions ⋮ Exploring transcendentality in superstring amplitudes ⋮ Integrating three-loop modular graph functions and transcendentality of string amplitudes ⋮ Poincaré series for modular graph forms at depth two. I: Seeds and Laplace systems ⋮ Poincaré series for modular graph forms at depth two. II: Iterated integrals of cusp forms ⋮ Basis decompositions and a Mathematica package for modular graph forms ⋮ The SAGEX review on scattering amplitudes Chapter 10: Selected topics on modular covariance of type IIB string amplitudes and their N=4 supersymmetric Yang–Mills duals

Cites Work

• Unnamed Item
• Unnamed Item
• The multiple zeta value data mine
• From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop
• The box graph in superstring theory
• Proof of a modular relation between 1-, 2- and 3-loop Feynman diagrams on a torus
• Hierarchy of modular graph identities
• \(D^6 R^4\) curvature corrections, modular graph functions and Poincaré series
• Tetrahedral modular graph functions
• Identities between modular graph forms
• Modular graph functions
• Exploring transcendentality in superstring amplitudes
• A class of non-holomorphic modular forms. I
• Modular graph functions and asymptotic expansions of Poincaré series
• Single-valued multiple zeta values in genus \(1\) superstring amplitudes
• Modular graph functions and odd cuspidal functions. Fourier and Poincaré series
• Elliptic multiple zeta values and one-loop superstring amplitudes
• On the modular structure of the genus-one type II superstring low energy expansion
• 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

This page was built for publication: Integral of two-loop modular graph functions