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New symmetries of the chiral Potts model
KTH, School of Engineering Sciences (SCI), Theoretical Physics.
2012 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 45, no 15, 155208- p.Article in journal (Refereed) Published
Abstract [en]

In this paper a hitherto unknown spectrum generating algebra, consisting of two coupled Temperley-Lieb algebras, is found in the three-state chiral Potts model. From this, we can construct new Onsager integrable models. One realization is in terms of a staggered isotropic XY spin chain. Further we investigate the importance of the algebra for the existence of mutually commuting conserved charges. This leads us to a natural generalization of the boost operator, which generates the charges.

Place, publisher, year, edition, pages
2012. Vol. 45, no 15, 155208- p.
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-95092DOI: 10.1088/1751-8113/45/15/155208ISI: 000302572000012Scopus ID: 2-s2.0-84859219997OAI: oai:DiVA.org:kth-95092DiVA: diva2:526877
Funder
Swedish Research Council, 348-2008-6049
Note
QC 20120515Available from: 2012-05-15 Created: 2012-05-14 Last updated: 2017-12-07Bibliographically approved

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