Comments about quantum symmetries of SU(3) graphs

Abstract

For the SU(3) system of graphs generalizing the ADE Dynkin digrams in the classification of modular invariant partition functions in CFT, we present a general collection of algebraic objects and relations that describe fusion properties and quantum symmetries associated with the corresponding Ocneanu quantum groupoïds. We also summarize the properties of the individual members of this system.

36 pages

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Cited by in corpus (11)

• Symmetries and Strings of Adjoint QCD${}_2$
• Racah - Wigner quantum 6j Symbols, Ocneanu Cells for AN diagrams, and quantum groupoids
• Orders and dimensions for sl(2) or sl(3) module categories and Boundary Conformal Field Theories on a torus
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• Type $II$ quantum subgroups of ${\mathfrak{sl}}_N$. $I$: Symmetries of local modules
• SU(3) higher roots and their lattices