Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coherent State Induced Star-Product on $R^3_{\lambda}$ and the Fuzzy
  Sphere   Using the Hopf fibration and starting from a four dimensional noncommutative
Moyal plane, $R^2_{\theta}\times R^2_{\theta}$, we obtain a star-product for
the noncommutative (fuzzy) $R^3_{\lambda}$ defined by
$[x^i,x^j]=i\lambda\epsilon_{ijk}x^k$. Furthermore, we show that there is a
projection function which allows us to reduce the functions on $R^3_{\lambda}$
to that of the fuzzy sphere, and hence we introduce a new star-product on the
fuzzy sphere. We will then briefly discuss how using our method one can extract
information about the field theory on fuzzy sphere and $\rrlam$ from the
corresponding field theories on $R_{theta}\times R_{\theta}$ space.

23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th