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

Paper Details

Published: 2024/10/25

ARXIV ID: abs/2410.19728v1

The authors introduce a high-performance Python library written in Jax for numerical investigation of the geometry of a large class of Calabi-Yau manifolds and their associated moduli spaces. The authors develop a well-defined geometric ansatz to numerically model tensor fields of arbitrary degree, considered as sections of the tensor bundle, on this class of Calabi–Yau manifolds. This library includes a machine learning component which incorporates this ansatz to compute tensor fields of interest on these spaces by finding an approximate solution to the system of partial differential equations they should satisfy.