Integral of depth zero to three basis of modular graph functions

Quantum field theory; related classical field theories (81Txx) Discontinuous groups and automorphic forms (11Fxx) Unified, higher-dimensional and super field theories (83Exx)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Holomorphic subgraph reduction of higher-point modular graph forms
Rankin-Selberg methods for closed strings on orbifolds
Hierarchy of modular graph identities
Tetrahedral modular graph functions
Differential equations in automorphic forms
Identities between modular graph forms
Modular graph functions
One-loop BPS amplitudes as BPS-state sums
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
All-order differential equations for one-loop closed-string integrals and modular graph forms
One-loop open-string integrals from differential equations: all-order \(\alpha '\)-expansions at \(n\) points
Generating series of all modular graph forms from iterated Eisenstein integrals
Integral of two-loop modular graph functions
Exploring transcendentality in superstring amplitudes
A new look at one-loop integrals in string theory
Single-valued multiple zeta values in genus \(1\) superstring amplitudes
Modular graph functions and odd cuspidal functions. Fourier and Poincaré series
On the modular structure of the genus-one type II superstring low energy expansion
Laplace-eigenvalue equations for length three modular iterated integrals
To the cusp and back: resurgent analysis for modular graph functions
Modular graph forms from equivariant iterated Eisenstein integrals
Poisson equation for the mercedes diagram in string theory at genus one
Poisson equation for the three-loop ladder diagram in string theory at genus one
Whittaker Fourier type solutions to differential equations arising from string theory