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  Two dialects for KZB equations: generating one-loop open-string integrals

Broedel, J., Kaderli, A., & Schlotterer, O. (2020). Two dialects for KZB equations: generating one-loop open-string integrals. Journal of High Energy Physics, 2020(12): 36. doi:10.1007/JHEP12(2020)036.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0006-C612-6 Version Permalink: http://hdl.handle.net/21.11116/0000-0007-A4C7-F
Genre: Journal Article

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 Creators:
Broedel, Johannes, Author
Kaderli, André1, Author              
Schlotterer, Oliver, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th,Mathematics, Number Theory, math.NT
 Abstract: Two different constructions generating the low-energy expansion of genus-one configuration-space integrals appearing in one-loop open-string amplitudes have been put forward in \rcites{Mafra:2019xms, *Mafra:2019ddf, Broedel:2019gba}. We are going to show that both approaches can be traced back to an elliptic system of Knizhnik--Zamolodchikov--Bernard(KZB) type on the twice-punctured torus. We derive an explicit all-multiplicity representation of the elliptic KZB system for a vector of iterated integrals with an extra marked point and explore compatibility conditions for the two sets of algebra generators appearing in the two differential equations.

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 Dates: 2020-07-072020-12-04
 Publication Status: Published in print
 Pages: 54 pages, several appendices
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 2007.03712
URI: http://arxiv.org/abs/2007.03712
DOI: 10.1007/JHEP12(2020)036
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Title: Journal of High Energy Physics
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Pages: - Volume / Issue: 2020 (12) Sequence Number: 36 Start / End Page: - Identifier: -