Fay identities for polylogarithms on higher-genus Riemann surfaces

E D'Hoker, O Schlotterer - arXiv preprint arXiv:2407.11476, 2024 - arxiv.org
A recent construction of polylogarithms on Riemann surfaces of arbitrary genus in arXiv:
2306.08644 is based on a flat connection assembled from single-valued non-holomorphic …

Special Fano geometry from Feynman integrals

R Schimmrigk - arXiv preprint arXiv:2412.20236, 2024 - arxiv.org
One of the fundamental open questions in QFT is what kind of functions appear as Feynman
integrals. In recent years this question has often been considered in a geometric context by …