Higher Chern-Simons based on (2-)crossed modules

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-Simon...

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Detalhes bibliográficos
Principais autores: Danhua Song, Mengyao Wu, Ke Wu, Jie Yang
Formato: Artigo
Idioma:English
Publicado em: SpringerOpen 2023-07-01
coleção:Journal of High Energy Physics
Assuntos:
Acesso em linha:https://doi.org/10.1007/JHEP07(2023)207
Descrição
Resumo: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.
ISSN:1029-8479