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Higher Chern-Simons based on (2-)crossed modules
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DOI：10.1007/JHEP07(2023)207.png)
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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.
Keyword:
Higher Gauge Theories
Chern-Simons Theories
Gauge Symmetry
Topological Field Theories
期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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