Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrable eight-state supersymmetric $U$ model with boundary terms and
  its Bethe ansatz solution   A class of integrable boundary terms for the eight-state supersymmtric $U$
model are presented by solving the graded reflection equations. The boundary
model is solved by using the coordinate Bethe ansatz method and the Bethe
ansatz equations are obtained.

31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
19
The categories of this paper are: eess