Extended Cartan homotopy formula for higher Chern-Simons-Antoniadis-Savvidy theory
arXiv:2410.14935 · doi:10.1016/j.physletb.2025.139471
Abstract
We consider extended Cartan homotopy formula (ECHF) for higher gauge theory. Firstly, we construct an oriented simplex based on 2-connections and present differential and integral forms of the higher ECHF. Then, we study the higher Chern-Simons-Antoniadis-Savvidy (ChSAS) theory and prove that the higher ECHF can reproduce the higher Chern-Weil theorem and give higher triangle equation. We finally conclude from the higher ECHF that a higher transgression form can be written as the difference of two higher ChSAS forms minus an exact form.
References in corpus (7)
- The Extended Cartan Homotopy Formula and a Subspace Separation Method for Chern--Simons Theory
- 4-d semistrict higher Chern-Simons theory I
- Differential geometry construction of anomalies and topological invariants in various dimensions
- 4-d Chern-Simons Theory: Higher Gauge Symmetry and Holographic Aspects
- Chern-Simons--Antoniadis-Savvidy forms and standard supergravity
- Higher Chern-Simons-Antoniadis-Savvidy forms based on crossed modules
- Higher Chern-Simons based on (2-)crossed modules