Nonstandard coproducts and the Izergin-Korepin open spin chain

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

1999-11-29

arxiv.org/abs/hep-th/9911232v2

J.Phys. A33 (2000) L21-L26

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/0305-4470/33/2/101

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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