A double copy from twisted (co)homology at genus g
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911133029367808 |
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| author | Pokraka, Andrzej Ren, Lecheng Rodriguez, Carlos |
| author_facet | Pokraka, Andrzej Ren, Lecheng Rodriguez, Carlos |
| contents | We study a family of generalized hypergeometric integrals defined on punctured Riemann surfaces of genus g. These integrals are closely related to g-loop string amplitudes in chiral splitting, where one leaves the loop-momenta, moduli and all but one puncture un-integrated. We study the twisted homology groups associated to these integrals, and determine their intersection numbers. We make use of these homology intersection numbers to write a double-copy formula for the "complex" version of these integrals -- their closed-string analogues. To verify our findings, we develop numerical tools for the evaluation of the integrals in this work. This includes the recently introduced Enriquez kernels -- integration kernels for higher-genus polylogarithms. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_01598 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A double copy from twisted (co)homology at genus g Pokraka, Andrzej Ren, Lecheng Rodriguez, Carlos High Energy Physics - Theory Mathematical Physics Algebraic Geometry We study a family of generalized hypergeometric integrals defined on punctured Riemann surfaces of genus g. These integrals are closely related to g-loop string amplitudes in chiral splitting, where one leaves the loop-momenta, moduli and all but one puncture un-integrated. We study the twisted homology groups associated to these integrals, and determine their intersection numbers. We make use of these homology intersection numbers to write a double-copy formula for the "complex" version of these integrals -- their closed-string analogues. To verify our findings, we develop numerical tools for the evaluation of the integrals in this work. This includes the recently introduced Enriquez kernels -- integration kernels for higher-genus polylogarithms. |
| title | A double copy from twisted (co)homology at genus g |
| topic | High Energy Physics - Theory Mathematical Physics Algebraic Geometry |
| url | https://arxiv.org/abs/2509.01598 |