Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chern-Simons terms in Noncommutative Geometry and its application to
  Bilayer Quantum Hall Systems   Considering bilayer systems as extensions of the planar ones by an internal
space of two discrete points, we use the ideas of Noncommutative Geometry to
construct the gauge theories for these systems. After integrating over the
discrete space we find an effective $2+1$ action involving an extra complex
scalar field, which can be interpreted as arising from the tunneling between
the layers. The gauge fields are found in different phases corresponding to the
different correlations due to the Coulomb interaction between the layers. In a
particular phase, when the radial part of the complex scalar field is a
constant, we recover the Wen-Zee model of Bilayer Quantum Hall systems. There
are some circumstances, where this radial part may become dynamical and cause
dissipation in the oscillating supercurrent between the layers.

33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas