Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A duality principle for noncommutative cubes and spheres   We discuss a general duality principle, between noncommutative analogues of
the standard cube $\mathbb Z_2^N$, and nonocommutative analogues of the
standard sphere $S^{N-1}_\mathbb R$. This duality is by construction of
algebraic geometric nature, and conjecturally connects the corresponding
quantum isometry groups, taken in an affine sense.

5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th