Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic Bethe ansatz for $\mathfrak{o}_{2n+1}$-invariant integrable
  models   A class of $\mathfrak{o}_{2n+1}$-invariant quantum integrable models is
investigated in the framework of algebraic Bethe ansatz method. A construction
of the $\mathfrak{o}_{2n+1}$-invariant Bethe vector is proposed in terms of the
Drinfeld currents for the double of Yangian $\mathcal{D}Y(\mathfrak{o}_{2n +
1})$. Action of the monodromy matrix entries onto off-shell Bethe vectors for
these models is calculated. Recursion relations for these vectors were
obtained. The action formulas can be used to investigate structure of the
scalar products of Bethe vectors in $\mathfrak{o}_{2n+1}$-invariant models.

7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex