Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interpolated family of non group-like simple integral fusion rings of
  Lie type   This paper computes the generic fusion rules of the Grothendieck ring of
Rep(PSL(2,q)), q prime-power, by applying the Schur orthogonality relations on
the generic character table. It then proves that this family of fusion rings
interpolates to all integers q>1, providing (when q is not prime-power) the
first example of infinite family of non group-like simple integral fusion
rings. Furthermore, they pass all the known criteria of (unitary)
categorification. This provides infinitely many serious candidates for solving
the famous open problem of whether there exists an integral fusion category
which is not weakly group-theoretical. A braiding criterion is finally
discussed.

18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph