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20182022
most citedFunctional relations for elliptic polylogarithms

29 citations · 89 across the 7 of their papers we have counts for

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7 papers

hep-th2022★ 5 cited

Open-string integrals with multiple unintegrated punctures at genus one

André Kaderli, Carlos Rodriguez

We study integrals appearing in intermediate steps of one-loop open-string amplitudes, with multiple unintegrated punctures on the -cycle of a torus. We construct a vector of su…

hep-th2021

A geometrical framework for amplitude recursions: bridging between trees and loops

Johannes Broedel, André Kaderli

Various methods for the recursive evaluation of scattering amplitudes in quantum field theory and string theory have been put forward during the last couple of years. In these proc…

hep-th2020★ 10 cited

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

Johannes Broedel, André Kaderli, Oliver Schlotterer

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 \rc…

hep-th2019★ 22 cited

Amplitude recursions with an extra marked point

Johannes Broedel, Andre Kaderli

The recursive calculation of Selberg integrals by Aomoto and Terasoma using the Knizhnik-Zamolodchikov equation and the Drinfeld associator makes use of an auxiliary point and faci…

hep-th2019★ 23 cited

A note on the Drinfeld associator for genus-zero superstring amplitudes in twisted de Rham theory

Andre Kaderli

The string corrections of tree-level open-string amplitudes can be described by Selberg integrals satisfying a Knizhnik-Zamolodchikov (KZ) equation. This allows for a recursion of…

hep-th2019★ 29 cited

Functional relations for elliptic polylogarithms

Johannes Broedel, Andre Kaderli

Numerous examples of functional relations for multiple polylogarithms are known. For elliptic polylogarithms, however, tools for the exploration of functional relations are availab…