Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-commuting coordinates in vortex dynamics and in the Hall effect,
  related to "exotic" Galilean symmetry   Vortex dynamics in a thin superfluid ${}^4$He film as well as in a type II
superconductor is described by the classical counterpart of the model advocated
by Peierls, and used for deriving the ground states of the Fractional Quantum
Hall Effect. The model has non-commuting coordinates, and is obtained by
reduction from a particle associated with the ``exotic'' extension of the
planar Galilei group.

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The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol