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arXiv:1908.07913

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

G. K. Sampa, A. Lima-Santos

Published Aug 19, 2019• 0 citations
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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.

DOI
10.48550/arxiv.1908.07913

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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.