69 citations · 390 across the 30 of their papers we have counts for
32 papers
Temperley-Lieb modules and local operators for critical ADE models
Yacine Ikhlef, Alexi Morin-Duchesne
We investigate critical restricted solid-on-solid models associated to Dynkin diagrams of type , and , with fixed, periodic and twisted periodic boundary conditions. Thes…
Fusion in the periodic Temperley-Lieb algebra: general definition of a bifunctor
Yacine Ikhlef, Alexi Morin-Duchesne
The periodic Temperley-Lieb category consists of connectivity diagrams drawn on a ring with and nodes on the outer and inner boundary, respectively. We consider families o…
Modular covariant torus partition functions of dense and dilute loop models
Alexi Morin-Duchesne, Andreas Klümper, Paul A. Pearce
Yang-Baxter integrable dense and dilute loop models are considered on the torus in their simplest physical regimes. A combination of boundary conditions $(h…
Fusion of irreducible modules in the periodic Temperley--Lieb algebra
Yacine Ikhlef, Alexi Morin-Duchesne
We propose a new family of modules over the enlarged periodic Temperley--Lieb algebra . These modules are built from link states…
Uncoiled affine Temperley-Lieb algebras and their Wenzl-Jones projectors
Alexis Langlois-Rémillard, Alexi Morin-Duchesne
Affine and periodic Temperley-Lieb algebras are families of diagrammatic algebras that find diverse applications in mathematics and physics. These algebras are infinite dimensional…
Fusion hierarchies, -systems and -systems for the dilute loop models on a strip
Florence Boileau, Alexi Morin-Duchesne, Yvan Saint-Aubin
We study the dilute loop models on the geometry of a strip of width . Two families of boundary conditions are known to satisfy the boundary Yang-Baxter equation. Fix…