On Bethe Ansatz for a Supersymmetric Vertex Model with ${\mathcal{U}}_{\mathrm{q}}[\mathrm{osp}(2|2{)}^{(2)}]$

Abstract

The Algebraic Bethe ansatz for a supersymmetric nineteen vertex-model constructed from a three-dimensional representation of the twisted quantum affine Lie superalgebra ${\mathcal{U}}_q[\mathrm{osp}(2|2{)}^{(2)}]$ 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.

18 pages. arXiv admin note: substantial text overlap with arXiv:hep-th/9807219

References in corpus (2)

• Where are the roots of the Bethe Ansatz equations?
• Quantum correspondences of affine Lie superalgebras