{"ID":2830395,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2512.10907","arxiv_id":"2512.10907","title":"Hermitian Yang--Mills connections on general vector bundles: geometry and physical Yukawa couplings","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.","short_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 globa...","url_abs":"https://arxiv.org/abs/2512.10907","url_pdf":"https://arxiv.org/pdf/2512.10907v1","authors":"[\"Challenger Mishra\",\"Justin Tan\"]","published":"2025-12-11T18:38:10Z","proceeding":"hep-th","tasks":"[\"hep-th\",\"cs.LG\"]","methods":"[]","has_code":false}