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arXiv · 2406.12061

Pluriharmonic solutions to Yang-Mills equations: a $C^*$-algebras approach

Marius Beceanu·Sachin Munshi·Rongwei Yang
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Abstract

This partially expository paper provides a view of Yang-Mills equations from the perspective of complex variables, operator theory, and $C^{*}$-algebras. Through operator-valued pluriharmonic and skew-Hermitian differential forms, it constructs a new class of instanton solutions. Furthermore, it provides a complex variable version of the Yang-Mills Lagrangian and the Belavin-Polyakov-Schwartz-Tyupkin instanton.

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Marius Beceanu, Sachin Munshi, Rongwei Yang. 2024-06-17. Pluriharmonic solutions to Yang-Mills equations: a $C^*$-algebras approach. https://doi.org/10.13140/rg.2.2.30051.16163

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