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arXiv · 2509.01598

A double copy from twisted (co)homology at genus g

Andrzej Pokraka·Lecheng Ren·Carlos Rodriguez
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Abstract

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.

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Andrzej Pokraka, Lecheng Ren, Carlos Rodriguez. 2025-09-01. A double copy from twisted (co)homology at genus g. https://arxiv.org/abs/2509.01598

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