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Analytical Bethe Ansatz for Quantum-Algebra-Invariant Spin Chains

Luca Mezincescu·Rafael I. Nepomechie
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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.

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Luca Mezincescu, Rafael I. Nepomechie. 1991-10-17. Analytical Bethe Ansatz for Quantum-Algebra-Invariant Spin Chains. https://doi.org/10.1016/0550-3213(92)90367-k

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