Nonstandard coproducts and the Izergin-Korepin open spin chain

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12 Citations (Scopus)

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 languageEnglish (US)
JournalJournal of Physics A: Mathematical and General
Volume33
Issue number2
DOIs
StatePublished - Jan 21 2000

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Coproducts
Spin Chains
Transfer Matrix
Symmetry
matrices
Quantum Spin Chain
symmetry
Unit matrix
Yang-Baxter Equation
R-matrix

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 journalArticle

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