J. Abad et M. Rios, BETHE-ANSATZ EQUATIONS FOR QUANTUM CHAINS COMBINING DIFFERENT REPRESENTATIONS OF SU(3), Journal of physics. A, mathematical and general, 29(21), 1996, pp. 533-538
The general expression for the local matrix of a quantum chain L(theta
) with the site space in any representation of SU(3) is obtained. This
is made by generalizing L(theta) from the fundamental representation
and imposing the fulfilment of the Yang-Baxter equation. With these op
erators and using a generalization of the nested Bethe ansatz, the Bet
he equations for a multistate quantum chain combining two arbitrary re
presentations of SU(3) are obtained.