Boundary algebraic Bethe Ansatz for a nineteen vertex model with Uq  [osp(2|2)(2)] symmetry

The boundary algebraic Bethe Ansatz for a supersymmetric nineteen vertex-model constructed from a three-dimensional representation of the twisted quantum affine Lie superalgebra Uq[osp(2|2)(2)]≃Uq[C(2)(2)] is presented. The eigenvalues and eigenvectors of Sklyanin's transfer matrix, with diagon...

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Bibliographic Details
Published in:Journal of statistical mechanics 2017-09, Vol.2017 (9)
Main Authors: Vieira, R S, Lima-Santos, A
Format: Article
Language:English
Online Access:Get full text
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Summary:The boundary algebraic Bethe Ansatz for a supersymmetric nineteen vertex-model constructed from a three-dimensional representation of the twisted quantum affine Lie superalgebra Uq[osp(2|2)(2)]≃Uq[C(2)(2)] is presented. The eigenvalues and eigenvectors of Sklyanin's transfer matrix, with diagonal reflection K-matrices, are calculated and the corresponding Bethe Ansatz equations are obtained. A numerical analysis for a small-length chain is also presented.
ISSN:1742-5468
DOI:10.1088/1742-5468/aa85ca