### Abstract

We show that the transfer matrix of the A_{N-1}^(1) open spin chain with diagonal boundary fields has the symmetry U_q (SU(L)) x U_q (SU(N-L)) x U(1), as well as a ``duality'' symmetry which interchanges L and N - L. We exploit these symmetries to compute exact boundary S matrices in the regime with q real.

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

Number of pages | 24 |

Journal | Nuclear Physics B |

Volume | 530 |

Issue number | 3 |

DOIs | |

Publication status | Published - 19 Oct 1998 |

### Keywords

- hep-th
- nlin.SI
- solv-int

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## Cite this

Doikou, A., & I. Nepomechie, R. (1998). Duality and quantum-algebra symmetry of the A

_{N-1}^{(1) }open spin chain with diagonal boundary fields.*Nuclear Physics B*,*530*(3), 641–664. https://doi.org/10.1016/S0550-3213(98)00567-7