Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $SU(2)$ Yang-Mills solitons in $R^2$ gravity   We construct new family of spherically symmetric regular solutions of $SU(2)$
Yang-Mills theory coupled to pure $R^2$ gravity. The particle-like field
configurations possess non-integer non-Abelian magnetic charge. A discussion of
the main properties of the solutions and their differences from the usual
Bartnik-McKinnon solitons in the asymptotically flat case is presented. It is
shown that there is continuous family of linearly stable non-trivial solutions
in which the gauge field has no nodes.

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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph