Robert Coquereaux, Esteban Isasi, Gil Schieber, “Notes on TQFT Wire Models and Coherence Equations for <nobr>$SU(3)$</nobr> Triangular Cells”, SIGMA, 2010, Volume 6,099, 44 pp.

This article is cited in 4 papers

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

Robert Coquereaux^a, Esteban Isasi^b, Gil Schieber^a

^a Centre de Physique Théorique (CPT) Luminy, Marseille, France
^b Departamento de Física, Simón Bolívar, Caracas, Venezuela

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.

Keywords: quantum symmetries; module-categories; conformal field theories; $6j$ symbols.

MSC: 81R50; 81R10; 20C08; 18D10

Received: July 9, 2010; in final form December 16, 2010; Published online December 28, 2010

Language: English

DOI: 10.3842/SIGMA.2010.099