Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2003-03-18
Nonlinear Sciences
Exactly Solvable and Integrable Systems
Latex, 11 pages
Scientific paper
10.1088/0305-4470/36/10/101
We present an algebraic Bethe ansatz for certain submanifolds of the bilayer vertex models proposed by Shiroishi and Wadati as coupled asymmetric six-vertex free-fermion models. A peculiar feature of our formulation is the presence of a diagonal monodromy matrix element that does not generate unwanted terms. The model contains two free-parameters entering into the Bethe ansatz equations as a pure phase factor.
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