Pluriharmonic solutions to Yang-Mills equations: a $C^*$-algebras approach
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916290495512576 |
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| author | Beceanu, Marius Munshi, Sachin Yang, Rongwei |
| author_facet | Beceanu, Marius Munshi, Sachin Yang, Rongwei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12061 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pluriharmonic solutions to Yang-Mills equations: a $C^*$-algebras approach Beceanu, Marius Munshi, Sachin Yang, Rongwei Mathematical Physics 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. |
| title | Pluriharmonic solutions to Yang-Mills equations: a $C^*$-algebras approach |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2406.12061 |