Higher Chern-Simons-Antoniadis-Savvidy forms based on crossed modules

Autor: Danhua Song, Ke Wu, Jie Yang
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Physics Letters B, Vol 848, Iss , Pp 138374- (2024)
Druh dokumentu: article
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2023.138374
Popis: We present higher Chern-Simons-Antoniadis-Savvidy (ChSAS) forms based on crossed modules. We start from introducing a generalized multilinear symmetric invariant polynomial for the differential crossed modules and constructing a metric independent, higher gauge invariant, and closed form using the higher curvature forms. Then, we establish the higher Chern-Weil theorem and prove that the higher ChSAS forms are a special case of this theorem. Finally, we get the link of two independent higher ChSAS theories.
Databáze: Directory of Open Access Journals