Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Completeness of the Bethe Ansatz for an open $q$-boson system with
  integrable boundary interactions   We employ a discrete integral-reflection representation of the double affine
Hecke algebra of type $C^\vee C$ at the critical level q=1, to endow the open
finite $q$-boson system with integrable boundary interactions at the lattice
ends. It is shown that the Bethe Ansatz entails a complete basis of
eigenfunctions for the commuting quantum integrals in terms of Macdonald's
three-parameter hyperoctahedral Hall-Littlewood polynomials.

23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an