Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Quantum Inverse Scattering Method for Hubbard-like Models   This work is concerned with various aspects of the formulation of the quantum
inverse scattering method for the one-dimensional Hubbard model. We first
establish the essential tools to solve the eigenvalue problem for the transfer
matrix of the classical ``covering'' Hubbard model within the algebraic Bethe
Ansatz framework. The fundamental commutation rules exhibit a hidden 6-vertex
symmetry which plays a crucial role in the whole algebraic construction. Next
we apply this formalism to study the SU(2) highest weights properties of the
eigenvectors and the solution of a related coupled spin model with twisted
boundary conditions. The machinery developed in this paper is applicable to
many other models, and as an example we present the algebraic solution of the
Bariev XY coupled model.

20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol