Grothendieck ring and Verlinde formula for the W-extended logarithmic minimal model WLM(1,p) (2009)
Pearce, Paul A., Rasmussen, Jorgen, Ruelle, Philippe
We consider the Grothendieck ring of the fusion algebra of the W-extended logarithmic minimal model WLM(1,p). Informally, this is the fusion ring of W-irreducible characters so it is blind to the...
Boundary monomers in the dimer model (2008)
Priezzhev, Vyatcheslav B., Ruelle, Philippe
The correlation functions of an arbitrary number of boundary monomers in the system of close-packed dimers on the square lattice are computed exactly in the scaling limit. The equivalence of the...
Pearce, Paul A., Rasmussen, Jorgen, Ruelle, Philippe
We consider the logarithmic minimal models LM(1,p) as `rational' logarithmic conformal field theories with extended W symmetry. To make contact with the extended picture starting from the lattice, we...
Wind on the boundary for the Abelian sandpile model (2007)
We continue our investigation of the two-dimensional Abelian sandpile model in terms of a logarithmic conformal field theory with central charge c=-2, by introducing two new boundary conditions....
Non-Local Finite-Size Effects in the Dimer Model (2007)
Izmailian, Nickolay Sh., Priezzhev, Vyatcheslav B., Ruelle, Philippe
We study the finite-size corrections of the dimer model on $\infty \times N$ square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections depend...
Non-Local Finite-Size Effects in the Dimer Model (2007)
Nickolay Sh. Izmailian, Vyatcheslav B. Priezzhev, Philippe Ruelle
We study the finite-size corrections of the dimer model on ∞ × N square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections depend in a...
Height variables in the Abelian sandpile model: scaling fields and correlations (2006)
Jeng, Monwhea, Piroux, Geoffroy, Ruelle, Philippe
We compute the lattice 1-site probabilities, on the upper half-plane, of the four height variables in the two-dimensional Abelian sandpile model. We find their exact scaling form when the insertion...
Logarithmic Conformal Field Theory and Boundary Effects in the Dimer Model (2005)
Izmailian, N. Sh., Priezzhev, V. B., Ruelle, Philippe, Hu, Chin-Kun
We study the finite-size corrections of the dimer model on $\infty \times N$ square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections in a...
Kramers-Wannier dualities via symmetries (2005)
Kramers-Wannier dualities in lattice models are intimately connected with symmetries. We show that they can be found directly and explicitly from the symmetry transformations of the boundary states...
Logarithmic scaling for height variables in the Abelian sandpile model (2004)
Piroux, Geoffroy, Ruelle, Philippe
We report on the exact computation of the scaling form of the 1-point function, on the upper-half plane, of the height 2 variable in the two-dimensional Abelian sandpile model. By comparing the open...
Boundary height fields in the Abelian sandpile model (2004)
Piroux, Geoffroy, Ruelle, Philippe
We study the abelian sandpile model on the upper half plane, and reconsider the correlations of the four height variables lying on the boundary. For more convenience, we carry out the analysis in the...
Pre-logarithmic and logarithmic fields in a sandpile model (2004)
Piroux, Geoffroy, Ruelle, Philippe
We consider the unoriented two-dimensional Abelian sandpile model on the half-plane with open and closed boundary conditions, and relate it to the boundary logarithmic conformal field theory with...
A c=-2 boundary changing operator for the Abelian sandpile (2002)
We consider the unoriented two-dimensional Abelian sandpile model on the half-plane with open and closed boundary conditions. We show that the operator effecting the change from closed to open, or...
Non periodic Ishibashi states: the su(2) and su(3) affine theories (2002)
Ruelle, Philippe, Verhoeven, Olivier
We consider the su(2) and su(3) affine theories on a cylinder, from the point of view of their discrete internal symmetries. To this end, we adapt the usual treatment of boundary conditions leading...
Symmetric boundary conditions in boundary critical phenomena (1999)
Conformally invariant boundary conditions for minimal models on a cylinder are classified by pairs of Lie algebras $(A,G)$ of ADE type. For each model, we consider the action of its (discrete)...
Automorphisms of the affine SU(3) fusion rules (1993)
We classify the automorphisms of the (chiral) level-k affine SU(3) fusion rules, for any value of k, by looking for all permutations that commute with the modular matrices S and T. This can be done...