Journal article

Logarithmic minimal models

Paul A Pearce, Jorgen Rasmussen, Jean-Bernard Zuber

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | IOP PUBLISHING LTD | Published : 2006

Abstract

Working in the dense loop representation, we use the planar Temperley-Lieb algebra to build integrable lattice models called logarithmic minimal models LM (p,p′) . Specifically, we construct Yang-Baxter integrable Temperley-Lieb models on the strip acting on link states and consider their associated Hamiltonian limits. These models and their associated representations of the Temperley-Lieb algebra are inherently non-local and not (time-reversal) symmetric. We argue that, in the continuum scaling limit, they yield logarithmic conformal field theories with central charges c = 1-(6(p - p′) 2/pp′), where p, p′ = 1, 2, ... are coprime. The first few members of the principal series LM (m, m + 1) a..

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