### Abstract

We have recently constructed a large class of open quantum spin chains which have quantum-algebra symmetry and which are integrable. We show here that these models can be exactly solved using a generalization of the analytical Bethe Ansatz (BA) method. In particular, we determine in this way the spectrum of the transfer matrices of the U_{q}[su(2)]-invariant spin chains associated with A_{1}
^{(1)} and A_{2}
^{(2)} in the fundamental representation. The quantum-algebra invariance of these models plays an essential role in obtaining these results. The BA equations for these open chains are "doubled" with respect to the BA equations for the corresponding closed chains.

Original language | English (US) |
---|---|

Pages (from-to) | 597-621 |

Number of pages | 25 |

Journal | Nuclear Physics B |

Volume | 372 |

Issue number | 3 |

DOIs | |

State | Published - Mar 23 1992 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Analytical Bethe Ansatz for quantum-algebra-invariant spin chains.** / Mezincescu, Alexandru; Nepomechie, Rafael.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 372, no. 3, pp. 597-621. https://doi.org/10.1016/0550-3213(92)90367-K

}

TY - JOUR

T1 - Analytical Bethe Ansatz for quantum-algebra-invariant spin chains

AU - Mezincescu, Alexandru

AU - Nepomechie, Rafael

PY - 1992/3/23

Y1 - 1992/3/23

N2 - We have recently constructed a large class of open quantum spin chains which have quantum-algebra symmetry and which are integrable. We show here that these models can be exactly solved using a generalization of the analytical Bethe Ansatz (BA) method. In particular, we determine in this way the spectrum of the transfer matrices of the Uq[su(2)]-invariant spin chains associated with A1 (1) and A2 (2) in the fundamental representation. The quantum-algebra invariance of these models plays an essential role in obtaining these results. The BA equations for these open chains are "doubled" with respect to the BA equations for the corresponding closed chains.

AB - We have recently constructed a large class of open quantum spin chains which have quantum-algebra symmetry and which are integrable. We show here that these models can be exactly solved using a generalization of the analytical Bethe Ansatz (BA) method. In particular, we determine in this way the spectrum of the transfer matrices of the Uq[su(2)]-invariant spin chains associated with A1 (1) and A2 (2) in the fundamental representation. The quantum-algebra invariance of these models plays an essential role in obtaining these results. The BA equations for these open chains are "doubled" with respect to the BA equations for the corresponding closed chains.

UR - http://www.scopus.com/inward/record.url?scp=0011466430&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0011466430&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(92)90367-K

DO - 10.1016/0550-3213(92)90367-K

M3 - Article

AN - SCOPUS:0011466430

VL - 372

SP - 597

EP - 621

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -