New path description for the M(k+1,2k+3) models and the dual Z_k graded parafermions

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dc.creatorJacob, P.
dc.creatorMathieu, P.
dc.date2007-09-11
dc.date2008-05-28
dc.date.accessioned2026-07-07T10:57:23Z
dc.date.available2026-07-07T10:57:23Z
dc.descriptionWe present a new path description for the states of the non-unitary M(k+1,2k+3) 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 M(k+1,k+2), with an analogous Fermi-gas interpretation. This interpretation leads to fermionic expressions for the finitized M(k+1,2k+3) characters, whose infinite-length limit represent new fermionic characters for the irreducible modules. The M(k+1,2k+3) models are also shown to be related to the Z_k graded parafermions via a (q to 1/q) duality transformation.
dc.description43 pages (minor typo corrected and minor rewording in the introduction)
dc.identifierhttps://arxiv.org/abs/0709.1658
dc.identifierhttp://arxiv.org/abs/0709.1658
dc.identifierJ.Stat.Mech.0711:P11005,2007
dc.identifierdoi:10.1088/1742-5468/2007/11/P11005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186735
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.titleNew path description for the M(k+1,2k+3) models and the dual Z_k graded parafermions
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