Two dialects for KZB equations: generating one-loop open-string integrals
2020
Online
report
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.
Comment: 54 pages, several appendices, corrected typos, updated references
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Two dialects for KZB equations: generating one-loop open-string integrals
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Autor/in / Beteiligte Person: | Broedel, Johannes ; Kaderli, André ; Schlotterer, Oliver |
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Veröffentlichung: | 2020 |
Medientyp: | report |
DOI: | 10.1007/JHEP12(2020)036 |
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