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- Centre National de la Recherche ScientifiqueFR123 papers
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5 papers · 2 filters
Logarithmic M(2,p) Minimal Models, their Logarithmic Couplings, and Duality
Pierre Mathieu, David Ridout
A natural construction of the logarithmic extension of the M(2,p) minimal models is presented, which generalises our previous model [0708.0802] of percolation (p=3). Its key aspect…
New path description for the M(k+1,2k+3) models and the dual Z_k graded parafermions
P. Jacob, P. Mathieu
We 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…
From Percolation to Logarithmic Conformal Field Theory
Pierre Mathieu, David Ridout
The smallest deformation of the minimal model M(2,3) that can accommodate Cardy's derivation of the percolation crossing probability is presented. It is shown that this leads to a…
Paths for Z_k parafermionic models
P. Jacob, P. Mathieu
We present a simple bijection between restricted (Bressoud) lattice paths and RSOS paths in regime II. Both types of paths describe states in Z_k parafermionic irreducible modules.…
The Extended Algebra of the Minimal Models
Pierre Mathieu, David Ridout
The minimal models M(p',p) with p' > 2 have a unique (non-trivial) simple current of conformal dimension h = (p' - 2) (p - 2) / 4. The representation theory of the extended algebra…