### Abstract

Corresponding to the Izergin-Korepin (A^{(2)}_{2}) R matrix, there are three diagonal solutions ('K matrices') of the boundary Yang-Baxter equation. Using these R and K matrices, one can construct transfer matrices for open integrable quantum spin chains. The transfer matrix corresponding to the identity matrix K = double-struck I sign is known to have U_{q}(o(3)) symmetry. We argue here that the transfer matrices corresponding to the other two K matrices also have U_{q}(o(3)) symmetry, but with a nonstandard coproduct. We briefly explore some of the consequences of this symmetry.

Original language | English (US) |
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Journal | Journal of Physics A: Mathematical and General |

Volume | 33 |

Issue number | 2 |

DOIs | |

State | Published - Jan 21 2000 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

**Nonstandard coproducts and the Izergin-Korepin open spin chain.** / Nepomechie, Rafael.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Nonstandard coproducts and the Izergin-Korepin open spin chain

AU - Nepomechie, Rafael

PY - 2000/1/21

Y1 - 2000/1/21

N2 - Corresponding to the Izergin-Korepin (A(2)2) R matrix, there are three diagonal solutions ('K matrices') of the boundary Yang-Baxter equation. Using these R and K matrices, one can construct transfer matrices for open integrable quantum spin chains. The transfer matrix corresponding to the identity matrix K = double-struck I sign is known to have Uq(o(3)) symmetry. We argue here that the transfer matrices corresponding to the other two K matrices also have Uq(o(3)) symmetry, but with a nonstandard coproduct. We briefly explore some of the consequences of this symmetry.

AB - Corresponding to the Izergin-Korepin (A(2)2) R matrix, there are three diagonal solutions ('K matrices') of the boundary Yang-Baxter equation. Using these R and K matrices, one can construct transfer matrices for open integrable quantum spin chains. The transfer matrix corresponding to the identity matrix K = double-struck I sign is known to have Uq(o(3)) symmetry. We argue here that the transfer matrices corresponding to the other two K matrices also have Uq(o(3)) symmetry, but with a nonstandard coproduct. We briefly explore some of the consequences of this symmetry.

UR - http://www.scopus.com/inward/record.url?scp=0034695301&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034695301&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/33/2/101

DO - 10.1088/0305-4470/33/2/101

M3 - Article

AN - SCOPUS:0034695301

VL - 33

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 2

ER -