Temperley-Lieb lattice models arising from quantum groups

M. T. Batchelor*, A. Kuniba

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)

Abstract

The authors construct families of solvable quantum spin chains, vertex and interactions round a face (IRF) models from representations of the Temperley-Lieb algebra associated with the quantum groups Uq(X n) for Xn=A1, Bn, Cn and Dn. They determine a correlation measuring order in the IRF models via the fusion rule in the level l Xn(1). Wess-Zumino-Witten model.

Original languageEnglish
Article number026
Pages (from-to)2599-2614
Number of pages16
JournalJournal of Physics A: Mathematical and General
Volume24
Issue number11
DOIs
Publication statusPublished - 1991

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