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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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 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: Issued
 Pages: 54 pages, several appendices
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Title: Journal of High Energy Physics
Source Genre: Journal
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Pages: - Volume / Issue: 2020 (12) Sequence Number: 36 Start / End Page: - Identifier: -