Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On axially symmetrical solitons in Abelian-Higgs models   A numerical search for bosonic superconducting static vortex rings in a
$U(1)_{A}\times U(1)_{W}$ model is presented. The fate of these rings without
current, is to shrink due to their tension until extinction. The
superconductivity of the loop does not seem to prevent shrinking. Current
quenching takes place before stabilization.

28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
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The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th