Pluriharmonic solutions to Yang-Mills equations: a $C^*$-algebras approach
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2024
- DOI:
- 10.48550/arXiv.2406.12061
- arXiv:
- arXiv:2406.12061
- Bibcode:
- 2024arXiv240612061B
- Keywords:
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- Mathematical Physics
- E-Print:
- doi:10.13140/RG.2.2.30051.16163