All-order differential equations for one-loop closed-string integrals and modular graph forms

Abstract We investigate generating functions for the integrals over world-sheet tori appearing in closed-string one-loop amplitudes of bosonic, heterotic and type-II theories. These closed-string integrals are shown to obey homogeneous and linear differential equations in the modular parameter of th...

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Bibliographic Details
Main Authors: Jan E. Gerken, Axel Kleinschmidt, Oliver Schlotterer
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2020)064