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Journal of Physics A Mathematical and General

Temperley-Lieb operator formalism for Zqsymmetric models and solvable submanifolds

Paul Martin, G. Launer

Published Nov 7, 1988• 0 citations
Publisher

Abstract

The authors give the operator formalism for the transfer matrix in Z q symmetric models. They give the structure and irreducible representations of the associated operator algebra. They show that the Potts model limit gives a subalgebra which is the unitarisable quotient of the Temperley-Lieb algebra, and give the inclusion of this subalgebra. The authors discuss other subalgebras in the context of a conformal field theory limit of the Z q symmetric models.

DOI
10.1088/0305-4470/21/21/001

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The authors give the operator formalism for the transfer matrix in Z q symmetric models. They give the structure and irreducible representations of the associated operator algebra. They show that the Potts model limit gives a subalgebra which is the unitarisable quotient of the Temperley-Lieb algebra, and give the inclusion of this subalgebra. The authors discuss other subalgebras in the context of a conformal field theory limit of the Z q symmetric models.
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