Analytical Bethe Ansatz for Quantum-Algebra-Invariant Spin Chains

Abstract

We have recently constructed a large class of open quantum spin chains which have quantum-algebra symmetry and which are integrable. We show here that these models can be exactly solved using a generalization of the analytical Bethe Ansatz (BA) method. In particular, we determine in this way the spectrum of the transfer matrices of the $U_q[(su(2)]$-invariant spin chains associated with $A_1^{(1)}$ and $A_2^{(2)}$ in the fundamental representation. The quantum-algebra invariance of these models plays an essential role in obtaining these results. The BA equations for these open chains are ``doubled'' with respect to the BA equations for the corresponding closed chains.

29 pages

References in corpus (1)

• Addendum to ``Integrability of Open Spin Chains with Quantum Algebra Symmetry''

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