SU(3)-Goodman-de la Harpe-Jones subfactors and the realisation of SU(3) modular invariants

Abstract

We complete the realisation by braided subfactors, announced by Ocneanu, of all SU(3)-modular invariant partition functions previously classified by Gannon.

47 pages, minor changes, to appear in Reviews in Mathematical Physics

Cited by in corpus (6)

• Quantum subgroups of the Haagerup fusion categories
• The Nakayama automorphism of the almost Calabi-Yau algebras associated to SU(3) modular invariants
• Subfactors and Mathematical Physics
• Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory
• Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory II: SU(3)
• Spectral Measures for $G_2$