Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chiral solitons from dimensional reduction of Chern-Simons gauged
  non-linear Schr\"odinger model of FQHE: classical and quantum aspects   The soliton structure of a gauge theory recently proposed to describe chiral
excitations in the Fractional Quantum Hall Effect is investigated. A new type
of non-linear derivative Schr\"odinger equation emerges as an effective
description of the system that supports novel chiral solitons. We discuss the
classical properties of solutions with vanishing and non-vanishing boundary
conditions (dark solitons) and we explain their relation to integrable systems.
The quantum analysis is also addressed in the framework of a semiclassical
approximation improved by Renormalization Group arguments.

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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: cond-mat