Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 6 (2010), 099, 44 pages      arXiv:1007.0721      https://doi.org/10.3842/SIGMA.2010.099

Notes on TQFT Wire Models and Coherence Equations for SU(3) Triangular Cells

Robert Coquereaux a, Esteban Isasi b and Gil Schieber a
a) Centre de Physique Théorique (CPT) Luminy, Marseille, France
b) Departamento de Física, Universidad Simón Bolívar, Caracas, Venezuela

Received July 09, 2010, in final form December 16, 2010; Published online December 28, 2010

Abstract
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.

Key words: quantum symmetries; module-categories; conformal field theories; 6j symbols.

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