arXiv Open Access 2025

A construction of single-valued elliptic polylogarithms

Konstantin Baune Johannes Broedel Yannis Moeckli

Lihat Sumber

Abstrak

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 construction of genus-zero single-valued polylogarithms to the elliptic curve: the condition of trivial monodromy for solutions to the Knizhnik-Zamolodchikov-Bernard equation is expressed in terms of elliptic associators and involves two representations of a two-letter alphabet. Our elliptic single-valued condition reduces to Brown's genus-zero condition upon degeneration of the torus. We provide several examples for our construction, including the elliptic Bloch-Wigner dilogarithm.

Topik & Kata Kunci

hep-th math-ph math.AG math.NT

Penulis (3)

Konstantin Baune

Johannes Broedel

Yannis Moeckli

Format Sitasi

APA MLA BibTeX

Baune, K., Broedel, J., Moeckli, Y. (2025). A construction of single-valued elliptic polylogarithms. https://arxiv.org/abs/2511.15240

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓