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Modular graph functions and asymptotic expansions of Poincare' series

Dorigoni, Daniele; Kleinschmidt, Axel

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Authors

Axel Kleinschmidt



Abstract

In this note we study SL(2,Z)-invariant functions such as modular graph functions or coefficient functions of higher derivative corrections in type IIB string theory. The functions solve inhomogeneous Laplace equations and we choose to represent them as Poincaré series. In this way we can combine different methods for asymptotic expansions and obtain the perturbative and non-perturbative contributions to their zero Fourier modes. In the case of the higher derivative corrections, these terms have an interpretation in terms of perturbative string loop effects and pairs of instantons/anti-instantons.

Citation

Dorigoni, D., & Kleinschmidt, A. (2019). Modular graph functions and asymptotic expansions of Poincare' series. Communications in Number Theory and Physics, 13(3), 569-617

Journal Article Type Article
Acceptance Date Jun 11, 2019
Online Publication Date Sep 17, 2019
Publication Date Jan 1, 2019
Deposit Date Apr 1, 2019
Publicly Available Date Mar 28, 2024
Journal Communications in Number Theory and Physics
Print ISSN 1931-4523
Electronic ISSN 1931-4531
Publisher International Press
Peer Reviewed Peer Reviewed
Volume 13
Issue 3
Pages 569-617
Publisher URL https://www.intlpress.com/site/pub/pages/journals/items/cntp/content/vols/0013/0003/a003/index.php

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