Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chern-Simons Theory and Dynamics of Composite Fermions   We propose a (4+1) dimensional Chern-Simons field theoretical description of
the fractional quantum Hall effect. It suggests that composite fermions reside
on a momentum manifold with a nonzero Chern number. Based on derivations from
microscopic wave functions, we further show that the momentum manifold has a
uniformly distributed Berry curvature. As a result, composite fermions do not
follow the ordinary Newtonian dynamics as commonly believed, but the more
general symplectic one. For a Landau level with the particle-hole symmetry, the
theory correctly predicts its Hall conductance at half-filling as well as the
symmetry between an electron filling fraction and its hole counterpart.

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The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
2
The categories of this paper are: math
16
The categories of this paper are: stat
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The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an