TY - JOUR
T1 - Nonstandard coproducts and the Izergin-Korepin open spin chain
AU - Nepomechie, Rafael I.
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
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.
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U2 - 10.1088/0305-4470/33/2/101
DO - 10.1088/0305-4470/33/2/101
M3 - Article
AN - SCOPUS:0034695301
VL - 33
SP - L21-L26
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 2
ER -