Hermitian Yang-Mills connections on general vector bundles: geometry and physical Yukawa couplings
Abstract
A bstract 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.
Fields of Study & Subjects
Quantum Mechanics and Non-Hermitian Physics
Geometry and complex manifolds
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Journal of High Energy Physics
- Volume
- 2026
- Issue
- 6
- Publication date
- 8 June 2026
- Language
- EN