Bethe ansatz equations for quantum chains combining different representations ofSU(3)

DOI10.1088/0305-4470/29/21/001zbMATH Open0905.35073arXivcond-mat/9609008OpenAlexW1978443374MaRDI QIDQ4393710

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Publication date: 11 June 1998

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Abstract: The general expression for the local matrix of a quantum chain $L(heta)$ with the site space in any representation of $su(3)$ is obtained. This is made by generalizing $L(heta)$ from the fundamental representation and imposing the fulfilment of the Yang-Baxter equation. With these operators and using a generalization of the nested Bethe ansatz, the Bethe equations for a multistate quantum chain combining two arbitrary representations of $su(3)$ are obtained .

Full work available at URL: https://arxiv.org/abs/cond-mat/9609008

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