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arXiv · hep-th/9911232

Nonstandard coproducts and the Izergin-Korepin open spin chain

Rafael I. Nepomechie
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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.

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Rafael I. Nepomechie. 1999-12-13. Nonstandard coproducts and the Izergin-Korepin open spin chain. https://doi.org/10.1088/0305-4470%2F33%2F2%2F101

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