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# All-order alpha'-expansion of one-loop open-string integrals

Mafra, Carlos R. and Schlotterer, Oliver (2019) All-order alpha'-expansion of one-loop open-string integrals. Pre-print.

Record type: Article

## Abstract

We present a new method to evaluate the $\alpha'$-expansion of genus-one integrals over open-string punctures and unravel the structure of the elliptic multiple zeta values in its coefficients. This is done by obtaining a simple differential equation of Knizhnik-Zamolodchikov-Bernard-type satisfied by generating functions of such integrals, and solving it via Picard iteration. The initial condition involves the generating functions at the cusp $\tau\to i\infty$ and can be reduced to genus-zero integrals.

Text
1908.09848v1 - Accepted Manuscript

Accepted/In Press date: 26 August 2019
e-pub ahead of print date: 26 August 2019
Additional Information: 6 pages, 2 figures
Keywords: hep-th, math.NT

## Identifiers

Local EPrints ID: 435749
URI: http://eprints.soton.ac.uk/id/eprint/435749
PURE UUID: bde1d510-9c5a-496f-90ce-ae74d0d7a45f
ORCID for Carlos R. Mafra: orcid.org/0000-0001-9842-9654

## Catalogue record

Date deposited: 19 Nov 2019 17:30

## Contributors

Author: Carlos R. Mafra
Author: Oliver Schlotterer