Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Electrically charged finite energy solutions of an $SO(5)$ and an
  $SU(3)$ Higgs-Chern-Simons--Yang-Mills-Higgs systems in $3+1$ dimensions   We study spherically symmetric finite energy solutions of two
Higgs-Chern-Simons--Yang-Mills-Higgs (HCS-YMH) models in $3+1$ dimensions, one
with gauge group $SO(5)$ and the other with $SU(3)$. The Chern-Simons (CS)
densities are defined in terms of both the Yang-Mills (YM) and Higgs fields and
the choice of the two gauge groups is made so they do not vanish. The solutions
of the $SO(5)$ model carry only electric charge and zero magnetic charge, while
the solutions of the $SU(3)$ model are dyons carrying both electric and
magnetic charges like the Julia-Zee (JZ) dyon. Unlike the latter however, the
electric charge in both models receives an important contribution from the CS
dynamics. We pay special attention to the relation between the energies and
charges of these solutions. In contrast with the electrically charged JZ dyon
of the Yang-Mills-Higgs (YMH) system, whose mass is larger than that of the
electrically neutral (magnetic monopole) solutions, the masses of the
electrically charged solutions of our HCS-YMH models can be smaller than their
electrically neutral counterparts in some parts of the parameter space. To
establish this is the main task of this work, which is performed by
constructing the HCS-YMH solutions numerically. In the case of the $SU(3)$
HCS-YMH, we have considered the question of angular momentum, and it turns out
that it vanishes.

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The categories of this paper are: eess
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: supr-con
1
The categories of this paper are: cs