高等chen - simons - antoniadis - savvidy理论的扩展Cartan同伦公式

IF 4.3 2区物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS

Physics Letters B Pub Date : 2025-04-15 DOI:10.1016/j.physletb.2025.139471

Danhua Song

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引用次数: 0

摘要

研究了高规范理论的扩展Cartan同伦公式。首先构造了一个基于2-连接的有向单纯形，并给出了高阶ECHF的微分和积分形式。然后，我们研究了ChSAS理论，证明了ChSAS理论可以再现Chern-Weil定理，并给出了更高的三角方程。我们最后从较高的ECHF得出结论，较高的海侵形式可以写成两个较高的ChSAS形式的差减去一个精确形式。

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Extended Cartan homotopy formula for higher Chern-Simons-Antoniadis-Savvidy theory

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.

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来源期刊

Physics Letters B 物理-物理：综合

CiteScore

9.10

自引率

6.80%

发文量

647

审稿时长

3 months

期刊介绍： Physics Letters B ensures the rapid publication of important new results in particle physics, nuclear physics and cosmology. Specialized editors are responsible for contributions in experimental nuclear physics, theoretical nuclear physics, experimental high-energy physics, theoretical high-energy physics, and astrophysics.