Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauge-invariant theories and higher-degree forms   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.

18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc