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Higher Chern-Simons based on (2-)crossed modules

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arxiv 2212.04667 v2 pith:YMJMXN42 submitted 2022-12-09 math-ph math.MP

Danhua Song , Mengyao Wu , Ke Wu , Jie Yang This is my paper
classification math-phmath.MP
keywords higherchern-simonsgeneralizedformsconnectionscrosseddifferentialmodules
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We present higher Chern-Simons theories based on (2-)crossed modules. We start from the generalized differential forms in Generalized Differential Calculus and define the corresponding generalized connections which consist of higher connections. Then we establish the generalized Chern-Simons forms to get the higher Chern-Simons actions. Finally, we develop the higher second Chern forms and Chern-Weil theorems.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

  2. Generalized forms of types N = 1, 2 and higher gauge theory

    math-ph 2026-01 conditional novelty 6.0 of 10

    Strict 2- and 3-gauge theory is re-expressed in a single generalized-form formalism in which higher connections, curvatures, Bianchi identities, and gauge transformations match ordinary gauge-theory form, yielding uni...

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