Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A superintegrable model with reflections on $S^{n-1}$ and the higher
  rank Bannai-Ito algebra   A quantum superintegrable model with reflections on the $(n-1)$-sphere is
presented. Its symmetry algebra is identified with the higher rank
generalization of the Bannai-Ito algebra. It is shown that the Hamiltonian of
the system can be constructed from the tensor product of $n$ representations of
the superalgebra $\mathfrak{osp}(1|2)$ and that the superintegrability is
naturally understood in that setting. The separated solutions are obtained
through the Fischer decomposition and a Cauchy-Kovalevskaia extension theorem.

13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin