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Higher Chern-Simons-Antoniadis-Savvidy forms based on crossed modules

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arxiv 2306.08930 v2 pith:JUEA4FMZ submitted 2023-06-15 math-ph math.MP

D. H. Song , K. Wu , J. Yang This is my paper
classification math-phmath.MP
keywords higherformschsascrossedmoduleschern-simons-antoniadis-savvidyindependentinvariant
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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.

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  1. Adjusting Higher Chern-Simons Theory

    hep-th 2025-07 conditional novelty 7.0 of 10

    The authors introduce half-adjusted higher Chern-Simons theories, obtained by a cotangent completion of adjusted L8-algebras, which admit consistent gauge transformations and equations of motion implying full flatness.

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