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Local height probabilities in a composite Andrews-Baxter-Forrester model
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
2012 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 45, no 43, 435001- p.Article in journal (Refereed) Published
Abstract [en]

We study the local height probabilities in a composite height model, derived from the restricted solid-on-solid model introduced by Andrews, Baxter and Forrester, and their connection with conformal field theory characters. The obtained conformal field theories also describe the critical behavior of the model at two different critical points. In addition, at criticality, the model is equivalent to a one-dimensional chain of anyons, subject to competing two- and three-body interactions. The anyonic-chain interpretation provided the original motivation to introduce the composite height model, and by obtaining the critical behavior of the composite height model, the critical behavior of the anyonic chains is established as well. Depending on the overall sign of the Hamiltonian, this critical behavior is described by a diagonal coset-model, generalizing the minimal models for one sign, and by Fateev-Zamolodchikov parafermions for the other.

Place, publisher, year, edition, pages
2012. Vol. 45, no 43, 435001- p.
Keyword [en]
Conformal Field-Theory, Ramanujan-Type Identities, 8-Vertex Sos Model, Exclusion Statistics, Fractional-Statistics, Fermionic Solution, Minimal Models, Representations, Characters, Virasoro
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-107221DOI: 10.1088/1751-8113/45/43/435001ISI: 000310464800003Scopus ID: 2-s2.0-84867885238OAI: oai:DiVA.org:kth-107221DiVA: diva2:576471
Note

QC 20121214

Available from: 2012-12-13 Created: 2012-12-10 Last updated: 2017-12-07Bibliographically approved

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CiteExportLink to record
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  • apa
  • harvard1
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  • de-DE
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