Higher Chern-Simons-Antoniadis-Savvidy forms based on crossed modules
Physics Letters B(2024)
摘要
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.
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关键词
2-gauge theory,Crossed module,Chern-Simons theory,Transgression gauge field theory
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