Fusion in the periodic Temperley-Lieb algebra and connectivity operators of loop models

In two-dimensional loop models, the scaling properties of critical random curves are encoded in the correlators of connectivity operators. In the dense O($n$) loop model, any such operator is naturally associated to a standard module of the periodic Temperley-Lieb algebra. We introduce a new fami...

Full description

Bibliographic Details
Main Author: Yacine Ikhlef, Alexi Morin-Duchesne
Format: Article
Language:English
Published: SciPost 2022-01-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.12.1.030