Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective Wess-Zumino-Witten Action for Edge States of Quantum Hall
  Systems on Bergman Ball   Using a group theory approach, we investigate the basic features of the
Landau problem on the Bergman ball {\bf B}^k. This can be done by considering a
system of particles living on {\bf B}^k in the presence of an uniform magnetic
field B and realizing the ball as the coset space SU(k,1)/U(k). In quantizing
the theory on {\bf{B}}^k, we define the wavefunctions as the Wigner
\cal{D}-functions satisfying a set of suitable constraints. The corresponding
Hamiltonian is mapped in terms of the right translation generators. In the
lowest Landau level, we obtain the wavefunctions as the SU(k,1) coherent
states. This are used to define the star product, density matrix and excitation
potential in higher dimensions. With these ingredients, we construct a
generalized effective Wess-Zumino-Witten action for the edge states and discuss
their nature.

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The categories of this paper are: physics
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: gr-qc