
TL;DR
This paper analyzes the spectrum of 19-vertex quantum spin chains using Coordinate and Algebraic Bethe Ansatz methods, providing explicit eigenvalues and eigenvectors for models with periodic boundary conditions.
Contribution
It introduces a parametrization of wavefunctions and applies both Bethe Ansatz techniques to solve for the spectrum of specific 19-vertex models.
Findings
Spectrum of the models determined
Eigenvalues and eigenvectors explicitly obtained
Applicable to models with periodic boundary conditions
Abstract
The nineteen-vertex models of Zamolodchikov-Fateev, Izergin-Korepin and the supersymmetric osp(1|2) with periodic boundary conditions are studied. We find the spectrum of these quantum spin chains using the Coordinate Bethe Ansatz. The approche is a suitable parametrization of their wavefunctions. We also applied the Algebraic Bethe Ansatz in order to obtain the eigenvalues and eigenvectors of the corresponding transfer matrices.
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