Refined conformal spectra in the dimer model

Rasmussen, Jorgen and Ruelle, Philippe (2012) Refined conformal spectra in the dimer model. Journal of Statistical Mechanics-Theory and Experiment, 2012 10: P10002-1-P10002-44. doi:10.1088/1742-5468/2012/10/P10002

Author Rasmussen, Jorgen
Ruelle, Philippe
Title Refined conformal spectra in the dimer model
Journal name Journal of Statistical Mechanics-Theory and Experiment   Check publisher's open access policy
ISSN 1742-5468
Publication date 2012-10
Sub-type Article (original research)
DOI 10.1088/1742-5468/2012/10/P10002
Volume 2012
Issue 10
Start page P10002-1
End page P10002-44
Total pages 44
Place of publication Temple Way, Bristol, United Kingdom
Publisher Institute of Physics Publishing
Collection year 2013
Language eng
Abstract Working with Liebs transfer matrix for the dimer model, we point out that the full set of dimer configurations may be partitioned into disjoint subsets (sectors) closed under the action of the transfer matrix. These sectors are labelled by an integer or half-integer quantum number we call the variation index. In the continuum scaling limit, each sector gives rise to a representation of the Virasoro algebra. We determine the corresponding conformal partition functions and their finitizations, and observe an intriguing link to the Ramond and Neveu-Schwarz sectors of the critical dense polymer model as described by a conformal field theory with central charge c=-2.
Keyword Conformal field theory
Loop models and polymers
Solvable lattice models
Dimers (theory)
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article numberP10002

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2013 Collection
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Citation counts: TR Web of Science Citation Count  Cited 6 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 5 times in Scopus Article | Citations
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