Bethe ansatz equations for quantum chains combining different representations of $su(3)$

Abstract

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 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 .

8 pages, Plaintex, harvmac, 3 figures, to appear in Jour. of Phys A

References in corpus (4)

• Thermodynamics of Integrable Chains with Alternating Spins
• Scalar Kinks
• A method for solve integrable $A_2$ spin chains combining different representations
• The class of universality of integrable and isotropic GL(N) mixed magnets

Cited by in corpus (1)

• Excitations and S-matrix for su(3) spin chain combining $3$ and ${3^{*}}