Higher Chern-Simons based on (2-)crossed modules
Mathematical Physics
2023-08-16 v2 math.MP
Abstract
We present higher Chern-Simons theories based on (2-)crossed modules. We start from the generalized differential forms in Generalized Differential Calculus and define the corresponding generalized connections which consist of higher connections. Then we establish the generalized Chern-Simons forms to get the higher Chern-Simons actions. Finally, we develop the higher second Chern forms and Chern-Weil theorems.
Keywords
Cite
@article{arxiv.2212.04667,
title = {Higher Chern-Simons based on (2-)crossed modules},
author = {Danhua Song and Mengyao Wu and Ke Wu and Jie Yang},
journal= {arXiv preprint arXiv:2212.04667},
year = {2023}
}