## Abstract

We consider an open spin chain model with GL (N) bulk symmetry that is broken to GL (M) × GL (N - M) by the boundary, which is a generalization of a model arising in string/gauge theory. We prove the integrability of this model by constructing the corresponding commuting transfer matrix. This construction uses operator-valued "projected" K-matrices. We solve this model for general values of N and M using the nested algebraic Bethe ansatz approach, despite the fact that the K-matrices are not diagonal. The key to obtaining this solution is an identity based on a certain factorization property of the reduced K-matrices into products of R-matrices. Numerical evidence suggests that the solution is complete.

Original language | English (US) |
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Pages (from-to) | 429-451 |

Number of pages | 23 |

Journal | Nuclear Physics B |

Volume | 831 |

Issue number | 3 |

DOIs | |

State | Published - Jun 1 2010 |

## ASJC Scopus subject areas

- Nuclear and High Energy Physics