Abstract
A free differential algebra is generalization of a Lie algebra in which the mathematical structure is extended by including of new Maurer-Cartan equations for higher-degree differential forms. In this article, we propose a generalization of the Chern-Weil theorem for free differential algebras containing only one p-form extension. This is achieved through a generalization of the covariant derivative, leading to an extension of the standard formula for Chern-Simons and transgression forms. We also study the possible existence of anomalies originated on this kind of structure. Some properties and particular cases are analyzed.
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Salgado, S. Gauge-invariant theories and higher-degree forms. J. High Energ. Phys. 2021, 66 (2021). https://doi.org/10.1007/JHEP10(2021)066
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DOI: https://doi.org/10.1007/JHEP10(2021)066