Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jack superpolynomials: physical and combinatorial definitions   Jack superpolynomials are eigenfunctions of the supersymmetric extension of
the quantum trigonometric Calogero-Moser-Sutherland. They are orthogonal with
respect to the scalar product, dubbed physical, that is naturally induced by
this quantum-mechanical problem. But Jack superpolynomials can also be defined
more combinatorially, starting from the multiplicative bases of symmetric
superpolynomials, enforcing orthogonality with respect to a one-parameter
deformation of the combinatorial scalar product. Both constructions turns out
to be equivalent. This provides strong support for the correctness of the
various underlying constructions and for the pivotal role of Jack
superpolynomials in the theory of symmetric superpolynomials.

34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex