Bethe Ansatze for 19-vertex Models

Details Bethe Ansatze for 19-vertex Models Bethe Ansatze for 19-vertex Models

1998-07-29

arxiv.org/abs/hep-th/9807219v2

J.Phys.A32:1819-1839,1999

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, Latex, references added, no signficant changes

Scientific paper

10.1088/0305-4470/32/10/004

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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