All-order alpha'-expansion of one-loop open-string integrals
All-order alpha'-expansion of one-loop open-string integrals
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.
hep-th, math.NT
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Schlotterer, Oliver
d30fbe50-b9eb-489a-ad79-0dd212ef4e0e
Mafra, Carlos R. and Schlotterer, Oliver
(2019)
All-order alpha'-expansion of one-loop open-string integrals.
Pre-print.
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
More information
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
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Local EPrints ID: 435749
URI: http://eprints.soton.ac.uk/id/eprint/435749
PURE UUID: bde1d510-9c5a-496f-90ce-ae74d0d7a45f
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Date deposited: 19 Nov 2019 17:30
Last modified: 17 Mar 2024 03:33
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Author:
Oliver Schlotterer
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