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

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

A bstract 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-Simo...

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Veröffentlicht in:The journal of high energy physics 2023-07, Vol.2023 (7), p.207-41, Article 207
Hauptverfasser: Song, Danhua, Wu, Mengyao, Wu, Ke, Yang, Jie
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Calculus
Chern-Simons Theories
Classical and Quantum Gravitation
Differential calculus
Elementary Particles
Field theory (physics)
Gauge Symmetry
High energy physics
Higher Gauge Theories
Lie groups
Modules
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Theorems
Topological Field Theories
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Zusammenfassung:A bstract 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
1029-8479
DOI:10.1007/JHEP07(2023)207