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Communications in Theoretical Physics

Bethe Ansatz for Supersymmetric Model Constructed from U q [ osp (2|2) (2) ] R -Matrix

Wen‐Li Yang, Zhen Yi

Published Sep 15, 2001• 4 citations
Publisher

Abstract

Using the algebraic Bethe ansatz method, we obtain the eigenvalues of transfer matrix of the supersymmetric model constructed from the R -matrix of the twisted affine superalgebra U q [ osp (2|2) (2) ] in periodic boundary condition and twisted boundary condition.
DOI
10.1088/0253-6102/36/3/381

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On Bethe Ansatz for a Supersymmetric Vertex Model with Uq[osp(2∣2)(2)]\mathcal{U}_{\rm q}[{\rm osp}(2|2)^{(2)}]Uq​[osp(2∣2)(2)]
The 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)]\mathcal{U}_{q}[\mathrm{osp}(2|2)^{(2)}]Uq​[osp(2∣2)(2)] is presented in detail. The eigenvalues and eigenvectors of the row-to-row transfer matrix are calculated and the corresponding Bethe Ansatz equations are obtained and analyzed numerically.