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 = 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.
| Original language | English (US) |
|---|---|
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 33 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jan 21 2000 |
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ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
Cite this
Nonstandard coproducts and the Izergin-Korepin open spin chain. / Nepomechie, Rafael.
In: Journal of Physics A: Mathematical and General, Vol. 33, No. 2, 21.01.2000.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Nonstandard coproducts and the Izergin-Korepin open spin chain
AU - Nepomechie, Rafael
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.
UR - http://www.scopus.com/inward/record.url?scp=0034695301&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0034695301&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/33/2/101
DO - 10.1088/0305-4470/33/2/101
M3 - Article
AN - SCOPUS:0034695301
VL - 33
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 2
ER -