Poisson equations for elliptic modular graph functions

DOI10.1016/j.physletb.2021.136086OpenAlexW3083256845MaRDI QIDQ2232553

Anirban Basu

Publication date: 6 October 2021

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

Full work available at URL: https://arxiv.org/abs/2009.02221

zbMATH Keywords

Poisson equationmodular graph functions

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (8)

To the cusp and back: resurgent analysis for modular graph functions ⋮ Algebraic identities between families of (elliptic) modular graphs ⋮ Elliptic modular graph forms. I: Identities and generating series ⋮ Integrating simple genus two string invariants over moduli space ⋮ Poisson equation for genus two string invariants: a conjecture ⋮ 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 ⋮ 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

Uses Software

• ModularGraphForms

Cites Work

• Unnamed Item
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• Hierarchy of modular graph identities
• Tetrahedral modular graph functions
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• Identities between modular graph forms
• Modular graph functions
• Two-loop superstring five-point amplitudes. II: Low energy expansion and S-duality
• 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
• Exploring transcendentality in superstring amplitudes
• Asymptotics of the \(D^8 \mathcal{R}^4 \) genus-two string invariant
• 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
• Simplifying the one-loop five graviton amplitude in type IIB string theory
• Basis decompositions and a Mathematica package for modular graph forms

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