4 papers · 1 filter
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…
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…
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…
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…