Séminaire de Physique Théorique

Functional relations in the A^{(1)}_2 models
Alexi Morin-Duchesne (Université Catholique de Louvain, Belgique)
Thursday 22 November 2018 14:00 -  Tours -  Salle 1180 (Bât E2)

Résumé :
We investigate the family of A^{(1)}_2 statistical models. This family of integrable models includes a dilute loop model on the square lattice, the dimer model on the hexagonal lattice, the sl(3) RSOS model and the U_q(sl_3)-invariant 15-vertex model. We describe these models using the dilute Temperley-Lieb algebra. We construct the Wenzl-Jones projectors and the fused transfer matrices. These matrices are found to satisfy functional relations that mimic the structure of tensor products for irreducible representations of sl(3). We write the result in terms of a Y-system.

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