Notes on TQFT wire models and coherence equations for SU(3) triangular cells

R. Coquereaux (1, 2, 3) , E. Isasi (4) , G. Schieber (2, 3)

1 CPT - E2 Géométrie, Physique et Symétries
2 CPT - Centre de Physique Théorique - UMR 6207
3 CPT - Centre de Physique Théorique - UMR 7332
4 Departamento de Física

After a summary of the TQFT wire model formalism we bridge the gap from Kuperberg equations for SU(3) spiders to Ocneanu coherence equations for systems of triangular cells on fusion graphs that describe modules associated with the fusion category of SU(3) at level k. We show how to solve these equations in a number of examples.

Domaines: Algèbres quantiques [math.QA]; Physique des Hautes Energies - Théorie [hep-th]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

R. Coquereaux, E. Isasi, G. Schieber. Notes on TQFT wire models and coherence equations for SU(3) triangular cells. Symmetry, Integrability and Geometry : Methods and Applications, 2010, 6, pp.099. ⟨10.3842/SIGMA.2010.099⟩. ⟨hal-00510825⟩