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arXiv · 2110.12483

Machine Learning Line Bundle Connections

Anthony Ashmore·Rehan Deen·Yang-Hui He·Burt A. Ovrut
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Abstract

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 on the examples of an elliptic curve, a K3 surface and a quintic threefold, we show that neural networks can be trained to give a close approximation to hermitian Yang-Mills connections.

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Anthony Ashmore, Rehan Deen, Yang-Hui He, Burt A. Ovrut. 2021-10-24. Machine Learning Line Bundle Connections. https://doi.org/10.1016/j.physletb.2022.136972

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