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arXiv · 2112.13370

Generalized higher connections and Yang-Mills

Danhua Song·Kai Lou·Ke Wu·Jie Yang
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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.

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Danhua Song, Kai Lou, Ke Wu, Jie Yang. 2021-12-26. Generalized higher connections and Yang-Mills. https://arxiv.org/abs/2112.13370

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