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...
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 |
Similar Items
-
Dimer representations of the Temperley–Lieb algebra
by: Alexi Morin-Duchesne, et al.
Published: (2015-01-01) -
Monomials and Temperley–Lieb algebras
by: Fan, C, et al.
Published: (1997) -
A fusion for the periodic Temperley-Lieb algebra and its continuum limit
by: Azat M. Gainutdinov, et al.
Published: (2018-11-01) -
On the computation of fusion over the affine Temperley–Lieb algebra
by: Jonathan Belletête, et al.
Published: (2018-12-01) -
On representations of affine Temperley-Lieb algebras - II
by: Erdmann, K, et al.
Published: (1999)