Modularity of Feynman Integrals and Factorization of Appell F2 Systems
arXiv:2605.07431 · doi:10.1016/j.geomphys.2026.105906
Abstract
Certain Feynman integrals can be expressed as periods of differential forms on Calabi--Yau manifolds. We provide a mathematical proof of a result of Duhr and Maggio on the modularity of the two-dimensional conformal traintrack integral. Our approach is based on a factorization of the associated Picard-Fuchs system into a tensor product of Gauss hypergeometric systems via a gauge transformation due to Clingher, Doran and Malmendier.
6 pages