Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative Planar Particle Dynamics with Gauge Interactions   We consider two ways of introducing minimal Abelian gauge interactions into
the model presented in [1]. They are different only if the second central
charge of the planar Galilei group is nonzero. One way leads to standard gauge
transformations and second to a generalized gauge theory with gauge
transformations accompanied by time-dependent area-preserving coordinate
transformations. Both approaches, however, are related to each other by a
classical Seiberg-Witten map supplemented by the noncanonical transformation of
the phase space variables for planar particles. We also formulate the two-body
problem in the model with a generalized gauge symmetry and consider the case
with both CS and background electromagnetic fields, as it is used in the
description of fractional quantum Hall effect.

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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc