Paper ID: 2410.19728 • Published Oct 25, 2024
cymyc -- Calabi-Yau Metrics, Yukawas, and Curvature
Per Berglund, Giorgi Butbaia, Tristan Hübsch, Vishnu Jejjala, Challenger Mishra, Damián Mayorga Peña, Justin Tan
TL;DR
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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.