Towards the solution of an integrable spin chain
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Data
2019-10-03
Autores
Nepomechie, Rafael I.
Pimenta, Rodrigo A.
Retore, Ana L. [UNESP]
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Resumo
Two branches of integrable open quantum-group invariant Dn+1 (2) quantum spin chains are known. For one branch (ϵ = 0), a complete Bethe ansatz solution has been proposed. However, the other branch (ϵ = 1) has so far resisted solution. In an effort to address this problem, we consider here the simplest case n = 1. We propose a Bethe ansatz solution, which however is not complete, as it describes only the transfer-matrix eigenvalues with odd degeneracy. We also consider a proposal for the missing eigenvalues.
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Bethe ansatz, integrable quantum spin chains, quantum group
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Journal of Physics A: Mathematical and Theoretical, v. 52, n. 43, 2019.