The spectrum of an open vertex model based on the U_q[SU(2)] at roots of unity
arXiv:0911.4069 · doi:10.1016/j.nuclphysb.2010.03.001
Abstract
We study the exact solution of an -state vertex model based on the representation of the algebra at roots of unity with diagonal open boundaries. We find that the respective reflection equation provides us one general class of diagonal -matrices having one free-parameter. We determine the eigenvalues of the double-row transfer matrix and the respective Bethe ansatz equation within the algebraic Bethe ansatz framework. The structure of the Bethe ansatz equation combine a pseudomomenta function depending on a free-parameter with scattering phase-shifts that are fixed by the roots of unity and boundary variables.
21 pages
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