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.
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Acknowledgments
This work is supported by the National Natural Science Foundation of China (Nos.11871350, NSFC no. 11971322).
The authors would like to thank the anonymous referee and editor for their valuable comments and suggestions which helped us improve the paper.
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Song, D., Wu, M., Wu, K. et al. Higher Chern-Simons based on (2-)crossed modules. J. High Energ. Phys. 2023, 207 (2023). https://doi.org/10.1007/JHEP07(2023)207
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DOI: https://doi.org/10.1007/JHEP07(2023)207