Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superconducting vortices in Semilocal Models   It is shown that the SU(2) semilocal model -- the Abelian Higgs model with
two complex scalars -- admits a new class of stationary, straight string
solutions carrying a persistent current and having finite energy per unit
length. In the plane orthogonal to their direction they correspond to a
nontrivial deformation of the embedded Abrikosov-Nielsen-Olesen (ANO) vortices
by the current flowing through them. The new solutions bifurcate with the ANO
vortices in the limit of vanishing current. They can be either static or
stationary. In the stationary case the relative phase of the two scalars
rotates at a constant velocity, giving rise to an electric field and angular
momentum, while the energy remains finite. The current has a strong localizing
effect on the magnetic field, thus evading the known spreading instability of
the ANO-semilocal vortex solutions. The new static vortex solutions have lower
energy than the ANO vortices and could be of considerable importance in various
physical systems (from condensed matter to cosmic strings).

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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: cs
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The categories of this paper are: math