Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensor model and dynamical generation of commutative nonassociative
  fuzzy spaces   Rank-three tensor model may be regarded as theory of dynamical fuzzy spaces,
because a fuzzy space is defined by a three-index coefficient of the product
between functions on it, f_a*f_b=C_ab^cf_c. In this paper, this previous
proposal is applied to dynamical generation of commutative nonassociative fuzzy
spaces. It is numerically shown that fuzzy flat torus and fuzzy spheres of
various dimensions are classical solutions of the rank-three tensor model.
Since these solutions are obtained for the same coupling constants of the
tensor model, the cosmological constant and the dimensions are not fundamental
but can be regarded as dynamical quantities. The symmetry of the model under
the general linear transformation can be identified with a fuzzy analog of the
general coordinate transformation symmetry in general relativity. This symmetry
of the tensor model is broken at the classical solutions. This feature may make
the model to be a concrete finite setting for applying the old idea of
obtaining gravity as Nambu-Goldstone fields of the spontaneous breaking of the
local translational symmetry.

34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat