## Abstract

We develop a technique for the construction of integrable models with a ℤ_{2} grading of both the auxiliary (chain) and quantum (time) spaces. These models have a staggered disposition of the anisotropy parameter. The corresponding Yang-Baxter equations are written down and their solution for the gl(N) case is found. We analyze in details the N = 2 case and find the corresponding quantum group behind this solution. It can be regarded as the quantum group U_{qB}(gl(2)), with a matrix deformation parameter qB such that (qB)^{2} = q^{2}. The symmetry behind these models can also be interpreted as the tensor product of the (-1)-Weyl algebra by an extension of U_{q}(gl(N)) with a Cartan generator related to deformation parameter -1.

Original language | English (US) |
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Pages (from-to) | 209-222 |

Number of pages | 14 |

Journal | Letters in Mathematical Physics |

Volume | 58 |

Issue number | 3 |

DOIs | |

State | Published - Dec 2001 |

## Keywords

- Bethe Ansatz
- Integrable models
- Ladder models
- Quantum groups
- Staggered parameters