Nonstandard coproducts and the Izergin-Korepin open spin chain

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=1 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.

7 pages, LaTeX; v2 has one additional sentence on the degeneracy pattern

Cited by in corpus (10)

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• Integrability of the $D_n^2$ vertex models with open boundary
• Algebraic Bethe Ansatz for the Zamolodchikov-Fateev and Izergin-Korepin models with open boundary conditions
• Symmetries of spin systems and Birman-Wenzl-Murakami algebra
• Exact solution for the Bariev model with boundary fields
• Surveying the quantum group symmetries of integrable open spin chains
• The integrable quantum group invariant A_{2n-1}^(2) and D_{n+1}^(2) open spin chains
• A supersymmetric U_{q}[osp(2|2)]-extended Hubbard model with boundary fields
• Quantum group symmetries and completeness for A_{2n}^(2) open spin chains
• A tale of two Bethe ansätze