4 papers · 1 filter
Non-invertible symmetries and modular invariance in lattice models
Yacine Ikhlef
We consider classical 2d lattice models with face interactions defined in terms of a fusion category. The symmetries of such models typically include an algebra of topological oper…
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…
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 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 state…