Unified algebraic Bethe ansatz for two-dimensional lattice models
Abstract
We develop a unified formulation of the quantum inverse scattering method for lattice vertex models associated to the non-exceptional
A
(2)
2r
,
A
(2)
2r−1
,
B
(1)
r
,
C
(1)
r
,
D
(1)
r+1
and
D
(2)
r+1
Lie algebras. We recast the Yang-Baxter algebra in terms of novel commutation relations between creation, annihilation and diagonal fields. The solution of the
D
(2)
r+1
model is based on an interesting sixteen-vertex model which is solvable without recourse to a Bethe ansatz.