Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory of Classical Higgs Fields. III. Metric-affine gauge theory   We consider classical gauge theory with spontaneous symmetry breaking on a
principal bundle $P\to X$ whose structure group $G$ is reducible to a closed
subgroup $H$, and sections of the quotient bundle $P/H\to X$ are treated as
classical Higgs fields. Its most comprehensive example is metric-affine gauge
theory on the category of natural bundles where gauge fields are general linear
connections on a manifold $X$, classical Higgs fields are arbitrary
pseudo-Riemannian metrics on $X$, and matter fields are spinor fields. In
particular, this is the case of gauge gravitation theory.

28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int