## Abstract

We show that the transfer matrix of the A^{(1)N - 1} open spin chain with diagonal boundary fields has the symmetry U_{q}(SU(l)) × U_{q}(SU(N - l)) × U(1), as well as a "duality" symmetry which maps l ↔ N - l. We exploit these symmetries to compute exact boundary S-matrices in the regime with q real.

Original language | English (US) |
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Pages (from-to) | 641-664 |

Number of pages | 24 |

Journal | Nuclear Physics B |

Volume | 530 |

Issue number | 3 |

DOIs | |

State | Published - Oct 19 1998 |

Externally published | Yes |

## Keywords

- Bethe ansatz
- Boundary S-matrix
- Boundary Yang-Baxter equation
- Duality
- Integrable spin chain
- Quantum group

## ASJC Scopus subject areas

- Nuclear and High Energy Physics

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