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arXiv · 2605.07431

Modularity of Feynman Integrals and Factorization of Appell F2 Systems

Murad Alim·Filippo La Mantia
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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.

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BibTeXRIS

Murad Alim, Filippo La Mantia. 2026-05-08. Modularity of Feynman Integrals and Factorization of Appell F2 Systems. https://doi.org/10.1016/j.geomphys.2026.105906

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