Nonstandard coproducts and the Izergin-Korepin open spin chain
High Energy Physics - Theory
2009-10-31 v2 Exactly Solvable and Integrable Systems
solv-int
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.
Keywords
Cite
@article{arxiv.hep-th/9911232,
title = {Nonstandard coproducts and the Izergin-Korepin open spin chain},
author = {Rafael I. Nepomechie},
journal= {arXiv preprint arXiv:hep-th/9911232},
year = {2009}
}
Comments
7 pages, LaTeX; v2 has one additional sentence on the degeneracy pattern