Higher Chern-Simons-Antoniadis-Savvidy forms based on crossed modules
Higher Chern-Simons-Antoniadis-Savvidy forms based on crossed modules
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DOI：
10.1016/j.physletb.2023.138374
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发表时间：
2023-06
影响因子：
4.4
通讯作者：
D. Song;K. Wu;J. Yang
中科院分区：
文献类型：
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作者：
D. Song;K. Wu;J. Yang
我们提出了基于交叉模块的更高的Chern-Simons-Antoniadis-Savvidy （ChSAS）形式。我们首先引入微分交叉模的广义多线性对称不变量多项式，然后利用高曲率形式构造一个度量无关、高规范不变量和封闭形式。然后，我们建立了更高的chen - weil定理，并证明了更高的ChSAS形式是该定理的一个特例。最后，我们得到了两个独立的高等ChSAS理论之间的联系。
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.