Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic non-Abelian gravitating solitons in the
  Einstein-Yang-Mills-Higgs theory and transitions between them   Two analytic examples of globally regular non-Abelian gravitating solitons in
the Einstein-Yang-Mills-Higgs theory in (3+1)-dimensions are presented. In both
cases, the space-time geometries are of the Nariai type and the Yang-Mills
field is completely regular and of meron type (namely, proportional to a pure
gauge). However, while in the first family (type I) $X_{0} = 1/2$ (as in all
the known examples of merons available so far) and the Higgs field is trivial,
in the second family (type II) $X_{0}$ is not 1/2 and the Higgs field is
non-trivial. We compare the entropies of type I and type II families
determining when type II solitons are favored over type I solitons: the VEV of
the Higgs field plays a crucial role in determining the phases of the system.
The Klein-Gordon equation for test scalar fields coupled to the non-Abelian
fields of the gravitating solitons can be written as the sum of a
two-dimensional D'Alembert operator plus a Hamiltonian which has been proposed
in the literature to describe the four-dimensional Quantum Hall Effect (QHE):
the difference between type I and type II solutions manifest itself in a
difference between the degeneracies of the corresponding energy levels.

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The categories of this paper are: q-bio
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: nlin