Mp. Pfannmuller et H. Frahm, A NEW ALGEBRAIC BETHE-ANSATZ FOR GL(2, 1) INVARIANT VERTEX MODELS, Journal of physics. A, mathematical and general, 30(15), 1997, pp. 543-548
The algebraic Bethe ansatz for the integrable vertex model constructed
from the four-dimensional [b, 1/2] representation of the superalgebra
gl(2, 1) is calculated using a ferromagnetic reference state. This Be
the ansatz was known only for the three-dimensional [1/2](+) represent
ation leading to the supersymmetric t-J model. The necessary modificat
ion of the nested algebraic Bethe ansatz scheme and generalizations to
related models are discussed.