Extended Cartan homotopy formula for higher Chern-Simons-Antoniadis-Savvidy theory
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866915257523372032 |
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| author | Song, Danhua |
| author_facet | Song, Danhua |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14935 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extended Cartan homotopy formula for higher Chern-Simons-Antoniadis-Savvidy theory Song, Danhua Mathematical Physics 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. |
| title | Extended Cartan homotopy formula for higher Chern-Simons-Antoniadis-Savvidy theory |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2410.14935 |