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arXiv · 2512.10907

Hermitian Yang--Mills connections on general vector bundles: geometry and physical Yukawa couplings

Challenger Mishra·Justin Tan
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Abstract

We compute solutions to the Hermitian Yang-Mills equations on holomorphic vector bundles $V$ via an alternating optimisation procedure founded on geometric machine learning. The proposed method is fully general with respect to the rank and structure group of $V$, requiring only the ability to enumerate a basis of global sections for a given bundle. This enables us to compute the physically normalised Yukawa couplings in a broad class of heterotic string compactifications. Using this method, we carry out this computation in full for a heterotic compactification incorporating a gauge bundle with non-Abelian structure group.

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Challenger Mishra, Justin Tan. 2025-12-11. Hermitian Yang--Mills connections on general vector bundles: geometry and physical Yukawa couplings. https://arxiv.org/abs/2512.10907

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