### 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) |
---|---|

Article number | 39LT02 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 51 |

Issue number | 39 |

DOIs | |

State | Published - Aug 30 2018 |

### Fingerprint

### 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)

### Cite this

^{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

**New D ^{2}
_{n+1} K-matrices with quantum group symmetry.** / Nepomechie, Rafael; Pimenta, Rodrigo A.

Research output: Contribution to journal › Article

^{2}

_{n+1}K-matrices with quantum group symmetry',

*Journal of Physics A: Mathematical and Theoretical*, vol. 51, no. 39, 39LT02. https://doi.org/10.1088/1751-8121/aad957

^{2}

_{n+1}K-matrices with quantum group symmetry. Journal of Physics A: Mathematical and Theoretical. 2018 Aug 30;51(39). 39LT02. https://doi.org/10.1088/1751-8121/aad957

}

TY - JOUR

T1 - New D2 n+1 K-matrices with quantum group symmetry

AU - Nepomechie, Rafael

AU - Pimenta, Rodrigo A.

PY - 2018/8/30

Y1 - 2018/8/30

N2 - We propose new families of solutions of the D2 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 D2 n+1 Dynkin diagram, namely, Uq(Bn-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.

AB - We propose new families of solutions of the D2 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 D2 n+1 Dynkin diagram, namely, Uq(Bn-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.

KW - boundary Yang-Baxter equation

KW - integrable quantum spin chains

KW - quantum group

UR - http://www.scopus.com/inward/record.url?scp=85053252734&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85053252734&partnerID=8YFLogxK

U2 - 10.1088/1751-8121/aad957

DO - 10.1088/1751-8121/aad957

M3 - Article

AN - SCOPUS:85053252734

VL - 51

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 39

M1 - 39LT02

ER -