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

A bstract 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 t...

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Bibliographic Details

Published in:	The journal of high energy physics Vol. 2020; no. 1; pp. 64 - 74
Main Authors:	Gerken, Jan E., Kleinschmidt, Axel, Schlotterer, Oliver
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 2020 Springer Nature B.V SpringerOpen
Subjects:	Conformal Field Models in String Theory Differential equations High energy physics Integrals Laplace equation Mathematical analysis Regular Article - Theoretical Physics Scattering Amplitudes Strings Superstrings and Heterotic Strings Toruses Scattering Amplitudes Superstrings and Heterotic Strings Conformal Field Models in String Theory
ISSN:	1029-8479, 1126-6708, 1029-8479
Online Access:	Get full text
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