Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vortices as Instantons in Noncommutative Discrete Space: Use of $Z_{2}$
  Coordinates   We show that vortices of Yang-Mills-Higgs model in $R^{2}$ space can be
regarded as instantons of Yang-Mills model in $R^{2}\times Z_{2}$ space. For
this, we construct the noncommutative $Z_{2}$ space by explicitly fixing the
$Z_{2}$ coordinates and then show, by using the $Z_{2}$ coordinates, that BPS
equation for the vortices can be considered as a self-dual equation. We also
propose the possibility to rewrite the BPS equations for vortices as ADHM
equations through the use of self-dual equation.

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The categories of this paper are: funct-an
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
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The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
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The categories of this paper are: acc-phys