Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Berezin Quantization From Ergodic Actions of Compact Quantum Groups, and
  Quantum Gromov-Hausdorff Distance   Over the last 25 years, the notion of "fuzzy spaces" has become ubiquitous in
the high-energy physics literature. These are finite dimensional noncommutative
approximations of the algebra of functions on a classical space. The most well
known examples come from the Berezin quantization of coadjoint orbits of
compact semisimple Lie groups.
  We develop a theory of Berezin quantization for certain quantum homogeneous
spaces coming from ergodic actions of compact quantum groups. This allows us to
construct fuzzy versions of these quantum homogeneous spaces. We show that the
finite dimensional approximations converge to the homogeneous space in a
continuous field of operator systems, and in the quantum Gromov-Hausdorff
distance of Rieffel.
  We apply the theory to construct a fuzzy version of an ellipsoid which is
naturally endowed with an orbifold structure, as well as a fuzzy version of the
$\theta$-deformed coset spaces $C(G/H)_{\hbar \theta}$ of Varilly. In the
process of the latter, we show that our Berezin quantization commutes with
Rieffel's deformation quantization for actions of $\R^d$.

22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th