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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Online-Zugang: | https://arxiv.org/abs/2605.07431 |
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| _version_ | 1866917471983763456 |
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| author | Alim, Murad La Mantia, Filippo |
| author_facet | Alim, Murad La Mantia, Filippo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_07431 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Modularity of Feynman Integrals and Factorization of Appell F2 Systems Alim, Murad La Mantia, Filippo Algebraic Geometry High Energy Physics - Theory Mathematical Physics 14D07, 14J28, 14J15, 81Q30 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. |
| title | Modularity of Feynman Integrals and Factorization of Appell F2 Systems |
| topic | Algebraic Geometry High Energy Physics - Theory Mathematical Physics 14D07, 14J28, 14J15, 81Q30 |
| url | https://arxiv.org/abs/2605.07431 |