Unified algebraic Bethe ansatz for two-dimensional lattice models

We develop a unified formulation of the quantum inverse scattering method for lattice vertex models associated to the nonexcrptionai A(2r)((2)), A(2r-1)((2)), B-r((1)), C-r((1)), D-r+1((1)), and D-r+1((2)) Lie algebras. We recast the Yang-Baxter algebra in terms of different commutation relations between creation, annihilation, and diagonal fields. The solution of the D-r+1((2)) model is based on an interesting 16-vertex model, which is solvable without recourse to a Bethe ansatz. [S1063-651X(99)07106-8].