Zero mode of the Fourier series of some modular graphs from Poincaré series

DOI10.1016/j.physletb.2020.135715zbMath1473.42004arXiv2005.07793OpenAlexW3025296234MaRDI QIDQ822353

Anirban Basu

Publication date: 22 September 2021

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07793

zbMATH Keywords

Poincaré seriesloop modular graph functions on the toroidal worldsheet

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Graph theory (05C99)

Related Items (7)

Two string theory flavours of generalised Eisenstein series ⋮ To the cusp and back: resurgent analysis for modular graph functions ⋮ 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
• \(\mathrm{SL}(2, \mathbb{Z})\)-invariance and D-instanton contributions to the \(D^6 R^4\) interaction
• From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop
• 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
• Fourier series of modular graph functions
• One-loop BPS amplitudes as BPS-state sums
• All-order differential equations for one-loop closed-string integrals and modular graph forms
• Generating series of all modular graph forms from iterated Eisenstein integrals
• Integral of two-loop modular graph functions
• Exploring transcendentality in superstring amplitudes
• Modular graph functions and asymptotic expansions of Poincaré series
• A new look at one-loop integrals in string theory
• 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
• Poisson equation for the Mercedes diagram in string theory at genus one
• Proving relations between modular graph functions
• Poisson equation for the three-loop ladder diagram in string theory at genus one
• Non-BPS interactions from the type II one loop four graviton amplitude
• Eisenstein Series and Automorphic Representations

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