Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic non-homogeneous condensates in the $(2+1)$-dimensional
  Yang-Mills-Higgs-Chern-Simons theory at finite density   We construct the first analytic examples of non-homogeneous condensates in
the Georgi-Glashow model at finite density in $(2+1)$ dimensions. The
non-homogeneous condensates, which live within a cylinder of finite spatial
volume, possess a novel topological charge that prevents them from decaying in
the trivial vacuum. Also the non-Abelian magnetic flux can be computed
explicitly. These solutions exist for constant and non-constant Higgs profile
and, depending on the length of the cylinder, finite density transitions occur.
In the case in which the Higgs profile is not constant, the full system of
coupled field equations reduce to the Lam\'e equation for the gauge field (the
Higgs field being an elliptic function). For large values of this length, the
energetically favored configuration is the one with a constant Higgs profile,
while, for small values, it is the one with non-constant Higgs profile. The
non-Abelian Chern-Simons term can also be included without spoiling the
integrability properties of these configurations. Finally, we study the
stability of the solutions under a particular type of perturbations.

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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: math
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int