16 citations · 30 across the 7 of their papers we have counts for
8 papers · 1 filter
Single-valued polylogarithms for higher genera
Konstantin Baune, Johannes Broedel, Yannis Moeckli
We extend the construction of single-valued polylogarithms at genus one from arXiv:2511.15240 to once-punctured Riemann surfaces of higher genera. The resulting functions have a tr…
A construction of single-valued elliptic polylogarithms
Konstantin Baune, Johannes Broedel, Yannis Moeckli
We establish a general construction of single-valued elliptic polylogarithms as functions on the once-punctured elliptic curve. Our formalism is an extension of Brown's constructio…
Higher-genus multiple zeta values
Konstantin Baune, Johannes Broedel, Egor Im +2
Multiple zeta values arise as special values of polylogarithms defined on Riemann surfaces of various genera. Building on the vast knowledge for classical and elliptic multiple zet…
Associators for AdS string amplitude building blocks
Konstantin Baune
We show that building blocks for open- and closed-string amplitudes on AdS are generated by the Drinfeld and Deligne associator, respectively. Our formalism lifts the known associa…
Closed-string amplitude recursions from the Deligne associator
Konstantin Baune, Johannes Broedel, Federico Zerbini
Inspired by earlier results on recursions for open-string tree-level amplitudes, and by a result of Brown and Dupont relating open- and closed-string tree-level amplitudes via sing…
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…
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…
A KLT-like construction for multi-Regge amplitudes
Konstantin Baune, Johannes Broedel
Inspired by the calculational steps originally performed by Kawai, Lewellen and Tye, we decompose scattering amplitudes with single-valued coefficients obtained in the multi-Regge-…