### Abstract

Two branches of integrable open quantum-group invariant D_{n+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.

Original language | English (US) |
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Article number | 434004 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 52 |

Issue number | 43 |

DOIs | |

State | Published - Oct 3 2019 |

### Keywords

- Bethe ansatz
- integrable quantum spin chains
- quantum group

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)

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## Cite this

Nepomechie, R. I., Pimenta, R. A., & Retore, A. L. (2019). Towards the solution of an integrable spin chain.

*Journal of Physics A: Mathematical and Theoretical*,*52*(43), [434004]. https://doi.org/10.1088/1751-8121/ab434d