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19962020
most citedFusion Algebras of Logarithmic Minimal Models

56 citations · 194 across the 7 of their papers we have counts for

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math-ph2020

Groundstate finite-size corrections and dilogarithm identities for the twisted , and models

Alexi Morin-Duchesne, Andreas Klümper, Paul A. Pearce

We consider the -systems satisfied by the , , vertex and loop models at roots of unity with twisted boundary conditions on the cylinder. The ve…

math-ph2019

Yang-Baxter Integrable Dimers on a Strip

Paul A. Pearce, Jørgen Rasmussen, Alessandra Vittorini-Orgeas

The dimer model on a strip is considered as a Yang-Baxter \mbox{integrable} six vertex model at the free-fermion point with crossing parameter and quantum group inva…

math-ph2019

Fusion hierarchies, -systems and -systems for the dilute loop models

Alexi Morin-Duchesne, Paul A. Pearce

The fusion hierarchy, -system and -system of functional equations are the key to integrability for 2d lattice models. We derive these equations for the generic dilute $A_2^{(…

math-ph2018

Fusion hierarchies, -systems and -systems for the models

Alexi Morin-Duchesne, Paul A. Pearce, Jorgen Rasmussen

The family of models on the square lattice includes a dilute loop model, a -vertex model and, at roots of unity, a family of RSOS models. The fused transfer matrice…

math-ph2018

One-Dimensional Sums and Finitized Characters of Fused RSOS Models

György Z. Fehér, Paul A. Pearce, Alessandra Vittorini-Orgeas

Tartaglia and Pearce have argued that the nonunitary fused Forrester-Baxter $\mbox{RSOS}(m,m')$ models are described, in the continuum scaling limit, by the minimal mod…