Generalized higher connections and Yang-Mills
High Energy Physics - Theory
2021-12-30 v2 Mathematical Physics
math.MP
Abstract
We first extend Generalized Differential Calculus (GDC) to higher structures and create generalized G-invariant bilinear forms. In addition, we also focus on developing generalized 2- and 3-connection theories in the framework of GDC. Then, we derive the higher Bianchi-Identities and study the gauge transformations for those generalized higher connections. Finally, we establish the generalized 2- and 3-form Yang-Mills theories based on GDC and obtain the corresponding fields equations.
Keywords
Cite
@article{arxiv.2112.13370,
title = {Generalized higher connections and Yang-Mills},
author = {Danhua Song and Kai Lou and Ke Wu and Jie Yang},
journal= {arXiv preprint arXiv:2112.13370},
year = {2021}
}