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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)