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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Vydané v:	The journal of high energy physics Ročník 2020; číslo 1; s. 64 - 74
Hlavní autori:	Gerken, Jan E., Kleinschmidt, Axel, Schlotterer, Oliver
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer Berlin Heidelberg 2020 Springer Nature B.V SpringerOpen
Predmet:	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
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