Dimer representations of the Temperley–Lieb algebra

A new spin-chain representation of the Temperley–Lieb algebra TLn(β=0) is introduced and related to the dimer model. Unlike the usual XXZ spin-chain representations of dimension 2n, this dimer representation is of dimension 2n−1. A detailed analysis of its structure is presented and found to yield i...

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Bibliographic Details
Main Authors: Alexi Morin-Duchesne, Jørgen Rasmussen, Philippe Ruelle
Format: Article
Language:English
Published: Elsevier 2015-01-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321314003605