André Kaderli
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View article: Open-string integrals with multiple unintegrated punctures at genus one
Open-string integrals with multiple unintegrated punctures at genus one Open
We study integrals appearing in intermediate steps of one-loop open-string amplitudes, with multiple unintegrated punctures on the $A$-cycle of a torus. We construct a vector of such integrals which closes after taking a total differential…
View article: Amplitude recursions with an extra marked point
Amplitude recursions with an extra marked point Open
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 facilitates the recursive evaluation of string amplitudes at ge…
View article: A geometrical framework for amplitude recursions: bridging between trees and loops
A geometrical framework for amplitude recursions: bridging between trees and loops Open
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 proceedings we describe a geometrical framework, which is belie…
View article: A note on the Drinfeld associator for genus-zero superstring amplitudes in twisted de Rham theory
A note on the Drinfeld associator for genus-zero superstring amplitudes in twisted de Rham theory Open
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 the α ′-expansion of tree-level string corrections in the n…
View article: Functional relations for elliptic polylogarithms
Functional relations for elliptic polylogarithms Open
Numerous examples of functional relations for multiple polylogarithms are known. For elliptic polylogarithms, however, tools for the exploration of functional relations are available, but only very few relations are identified. Starting fr…
View article: Penrose quasi-local energy and Kerr–Schild metrics
Penrose quasi-local energy and Kerr–Schild metrics Open
Specialising to the case of Kerr-Schild spacetimes, which include the Kerr\nblack hole and gravitational wave solutions, we propose a modification of the\nPenrose quasi-local energy. The modification relies on the existence of a\nnatural M…