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arXiv · 2410.19728

cymyc -- Calabi-Yau Metrics, Yukawas, and Curvature

Per Berglund·Giorgi Butbaia·Tristan Hübsch·Vishnu Jejjala·Challenger Mishra·Damián Mayorga Peña·Justin Tan
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Abstract

We introduce \texttt{cymyc}, a high-performance Python library for numerical investigation of the geometry of a large class of string compactification manifolds and their associated moduli spaces. We develop a well-defined geometric ansatz to numerically model tensor fields of arbitrary degree on a large class of Calabi-Yau manifolds. \texttt{cymyc} includes a machine learning component which incorporates this ansatz to model tensor fields of interest on these spaces by finding an approximate solution to the system of partial differential equations they should satisfy.

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Per Berglund, Giorgi Butbaia, Tristan Hübsch, Vishnu Jejjala, Challenger Mishra, Damián Mayorga Peña, Justin Tan. 2024-10-25. cymyc -- Calabi-Yau Metrics, Yukawas, and Curvature. https://doi.org/10.1007/jhep03(2025)028

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