Higher Chern-Simons-Antoniadis-Savvidy forms based on crossed modules
Mathematical Physics
2023-12-12 v2 math.MP
Abstract
We present higher Chern-Simons-Antoniadis-Savvidy (ChSAS) forms based on crossed modules. We start from introducing a generalized multilineal 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 is a special case of this theorem. Finally, we get the link of two independent higher ChSAS theories.
Keywords
Cite
@article{arxiv.2306.08930,
title = {Higher Chern-Simons-Antoniadis-Savvidy forms based on crossed modules},
author = {D. H. Song and K. Wu and J. Yang},
journal= {arXiv preprint arXiv:2306.08930},
year = {2023}
}