Machine learning line bundle connections

نویسندگان

چکیده

We study the use of machine learning for finding numerical hermitian Yang-Mills connections on line bundles over Calabi-Yau manifolds. Defining an appropriate loss function and focusing examples elliptic curve, a K3 surface quintic threefold, we show that neural networks can be trained to give close approximation connections.

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ژورنال

عنوان ژورنال: Physics Letters B

سال: 2022

ISSN: ['0370-2693', '1873-2445']

DOI: https://doi.org/10.1016/j.physletb.2022.136972