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Towards the solution of an integrable $D_2^{(2)}$ spin chain

Abstract : Two branches of integrable open quantum-group invariant quantum spin chains are known. For one branch (), a complete Bethe ansatz solution has been proposed. However, the other branch () 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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Submitted on : Wednesday, June 19, 2019 - 5:15:50 PM
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Rafael I. Nepomechie, Rodrigo A. Pimenta, Ana L. Retore. Towards the solution of an integrable $D_2^{(2)}$ spin chain. J.Phys.A, 2019, 52 (43), pp.434004. ⟨10.1088/1751-8121/ab434d⟩. ⟨hal-02160495⟩



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