Removable singularities of Yang-Mills-Higgs fields in higher dimensions

Bo Chen

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arXiv · 2603.11926

Removable singularities of Yang-Mills-Higgs fields in higher dimensions

Bo Chen

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Abstract

This paper establishes decay estimates near isolated singularities for $n$-dimensional Yang-Mills-Higgs fields defined on a fiber bundle ($n \geq 4$). These estimates yield a removable singularity theorem for Yang-Mills-Higgs fields under conformally invariant energy bounds, extending the classical results for Yang-Mills fields and harmonic maps.

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Bo Chen. 2026-03-12. Removable singularities of Yang-Mills-Higgs fields in higher dimensions. https://arxiv.org/abs/2603.11926

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