Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noncommutative Chern-Simons theory and exotic geometry emerging from the
  lowest Landau level   We relate the collective dynamic internal geometric degrees of freedom to the
gauge fluctuations in $\nu=1/m$(m odd) fractional quantum Hall effects. In this
way, in the lowest Landau level, a highly nontrivial quantum geometry in
two-dimensional guiding center space emerges from these internal geometric
modes. Using the Dirac bracket method, we find that this quantum geometric
field theory is a topological non-commutative Chern-Simons theory.Topological
indices, such as the guiding center angular momentum (also called the shift)
and the guiding center spin, which characterize the fractional quantum Hall
(FQH) states besides the filling factor, are naturally defined. A
noncommutative K-matrix Chern-Simons theory is proposed as a generalization to
a large class of Abelian FQH topological orders.

27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex