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CYJAX: A package for Calabi-Yau metrics with JAX

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arxiv 2211.12520 v2 pith:YR2NOTB4 submitted 2022-11-22 hep-th

classification hep-th
keywords cyjaxcalabi-yaumetricspackageaccessibleahlerahlerityalgebraic
verification ladder T0 review T1 audit T2 compute T3 formal
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We present the first version of CYJAX, a package for machine learning Calabi-Yau metrics using JAX. It is meant to be accessible both as a top-level tool and as a library of modular functions. CYJAX is currently centered around the algebraic ansatz for the K\"ahler potential which automatically satisfies K\"ahlerity and compatibility on patch overlaps. As of now, this implementation is limited to varieties defined by a single defining equation on one complex projective space. We comment on some planned generalizations.

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