2007/09/30 by P Jacob, P. Jacob, P. Mathieu +1 · 9 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Algebraic structures and combinatorial models #Dual (grammatical number) #Duality (order theory) #Interpretation (philosophy) #Limit (mathematics) #Minimal models #Path (computing) #Physics of Superconductivity and Magnetism #Representation (politics) #Unitary state #cond-mat.stat-mech #hep-th #math-ph #math.CO #math.MP
paper · pdf · doi:10.1088/1742-5468/2007/11/p11005
published in Journal of Statistical Mechanics Theory and Experiment 2007(11), P11005 (Institute of Physics) · 43 pages (minor typo corrected and minor rewording in the introduction)
openalex publication_date 2007/11/12 · arxiv created 2008/05/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a new path description for the states of the non-unitary models. This description differs from the one induced by the Forrester–Baxter solution, in terms of configuration sums, of their restricted-solid-on-solid model. The proposed path representation is actually very similar to the one underlying the unitary minimal models , with an analogous Fermi-gas interpretation. This interpretation leads to fermionic expressions for the finitized characters, whose infinite-length limit represent new fermionic characters for the irreducible modules. The models are also shown to be related to the graded parafermions via a ( ) duality transformation.