Gauging a non-invertible symmetry exchanges the D7 and E6 minimal models, completing the ADE triality.
Twisted partition functions for ADE boundary conformal field theories and Ocneanu algebras of quantum symmetries
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For every ADE Dynkin diagram, we give a realization, in terms of usual fusion algebras (graph algebras), of the algebra of quantum symmetries described by the associated Ocneanu graph. We give explicitly, in each case, the list of the corresponding twisted partition functions
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ADE triality via (non-)invertible symmetry gauging
Gauging a non-invertible symmetry exchanges the D7 and E6 minimal models, completing the ADE triality.