### Abstract

We propose new families of solutions of the D^{2} _{n+1} boundary Yang-Baxter equation. The open spin-chain transfer matrices constructed with these K-matrices have quantum group symmetry corresponding to removing one node from the D^{2} _{n+1} Dynkin diagram, namely, Uq(B_{n-p}) O× Uq(Bp), where p = 0,⋯, n. These transfer matrices also have a p ↔ n - p duality symmetry. These symmetries help to account for the degeneracies in the spectrum of the transfer matrix.

Original language | English (US) |
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Article number | 39LT02 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 51 |

Issue number | 39 |

DOIs | |

State | Published - Aug 30 2018 |

### Keywords

- boundary Yang-Baxter equation
- 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. (2018). New D

^{2}_{n+1}K-matrices with quantum group symmetry.*Journal of Physics A: Mathematical and Theoretical*,*51*(39), [39LT02]. https://doi.org/10.1088/1751-8121/aad957