Pluriharmonic solutions to Yang-Mills equations: a $C^*$-algebras approach
Mathematical Physics
2024-06-19 v1 math.MP
Abstract
This partially expository paper provides a view of Yang-Mills equations from the perspective of complex variables, operator theory, and -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.
Cite
@article{arxiv.2406.12061,
title = {Pluriharmonic solutions to Yang-Mills equations: a $C^*$-algebras approach},
author = {Marius Beceanu and Sachin Munshi and Rongwei Yang},
journal= {arXiv preprint arXiv:2406.12061},
year = {2024}
}