Supergravity limit of genus two modular graph functions in the worldline formalism

DOI10.1016/j.physletb.2018.06.005zbMath1404.81202arXiv1803.08329OpenAlexW2790496676MaRDI QIDQ1632129

Anirban Basu

Publication date: 13 December 2018

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

Full work available at URL: https://arxiv.org/abs/1803.08329

zbMATH Keywords

maximal supergravitylow momentum expansionsupergravity limittwo loop four graviton amplitude

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Supergravity (83E50) Feynman diagrams (81T18) Quantization of the gravitational field (83C45) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (3)

Modular graph functions and odd cuspidal functions. Fourier and Poincaré series ⋮ Eigenvalue equation for genus two modular graphs ⋮ Holomorphic subgraph reduction of higher-point modular graph forms

Cites Work

• Zhang-Kawazumi invariants and superstring amplitudes
• Two-loop superstrings. VI: Nonrenormalization theorems and the 4-point function.
• From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop
• Soft theorems in superstring theory
• Two-loop superstrings and \(S\)-duality
• Worldline Green functions for arbitrary Feynman diagrams
• Tetrahedral modular graph functions
• Low momentum expansion of one loop amplitudes in heterotic string theory
• Higher genus modular graph functions, string invariants, and their exact asymptotics
• Identities between modular graph forms
• Modular graph functions
• On the modular structure of the genus-one type II superstring low energy expansion
• Infrared divergences and harmonic anomalies in the two-loop superstring effective action
• Perturbative type II amplitudes for BPS interactions
• Poisson equation for the Mercedes diagram in string theory at genus one
• Proving relations between modular graph functions
• Perturbative quantum field theory in the string-inspired formalism

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