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\(SU(3)\)-Goodman-de la Harpe-Jones subfactors and the realization of \(SU(3)\) modular invariants. (English) Zbl 1187.46049

Summary: We complete the realization by braided subfactors, announced by A.Ocneanu, of all \(SU(3)\)-modular invariant partition functions previously classified by T.Gannon [Commun.Math.Phys.161, No.2, 233–263 (1994; Zbl 0806.17031)].

MSC:

46L37 Subfactors and their classification
46L60 Applications of selfadjoint operator algebras to physics
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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