Local height probabilities in a composite Andrews-Baxter-Forrester model
2012 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, Vol. 45, no 43, 435001- p.Article in journal (Refereed) Published
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.
Conformal Field-Theory, Ramanujan-Type Identities, 8-Vertex Sos Model, Exclusion Statistics, Fractional-Statistics, Fermionic Solution, Minimal Models, Representations, Characters, Virasoro
IdentifiersURN: urn:nbn:se:kth:diva-107221DOI: 10.1088/1751-8113/45/43/435001ISI: 000310464800003ScopusID: 2-s2.0-84867885238OAI: oai:DiVA.org:kth-107221DiVA: diva2:576471
QC 201212142012-12-132012-12-102013-08-28Bibliographically approved