Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: SU(3) Einstein-Yang-Mills-Dilaton Sphalerons and Black Holes   SU(3) Einstein-Yang-Mills-dilaton theory possesses sequences of static
spherically symmetric sphaleron and black hole solutions for the SU(2) and the
SO(3) embedding. The solutions depend on the dilaton coupling constant
$\gamma$, approaching the corresponding Einstein-Yang-Mills solutions for
$\gamma \rightarrow 0$, and Yang-Mills-dilaton solutions in flat space for
$\gamma \rightarrow \infty$. The sequences of solutions tend to
Einstein-Maxwell-dilaton solutions with different magnetic charges. The
solutions satisfy analogous relations between the dilaton field and the metric
for general $\gamma$. Thermodynamic properties of the black hole solutions are
discussed.

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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
2
The categories of this paper are: math
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn