Temperley-Lieb lattice models arising from quantum groups

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. Show more