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hep-th2025
Grassmannian Geometries for Non-Planar On-Shell Diagrams
Artyom Lisitsyn, Umut Oktem, Melissa Sherman-Bennett +1
On-shell diagrams are gauge invariant quantities which play an important role in the description of scattering amplitudes. Based on the principles of generalized unitarity, they ar…
hep-th2024
Higher-genus Fay-like identities from meromorphic generating functions
Konstantin Baune, Johannes Broedel, Egor Im +2
A possible way of constructing polylogarithms on Riemann surfaces of higher genera facilitates integration kernels, which can be derived from generating functions incorporating the…
hep-th2024
Schottky-Kronecker forms and hyperelliptic polylogarithms
Konstantin Baune, Johannes Broedel, Egor Im +2
Elliptic polylogarithms can be defined as iterated integrals on a genus-one Riemann surface of a set of integration kernels whose generating series was already considered by Kronec…