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 Quantum symmetries for exceptional SU4 modular invariants associated with conformal embeddings


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Three exceptional modular invariants of SU4 exist at levels 4, 6 and 8. They can be obtained from appropriate conformal embeddings and the corresponding graphs have self-fusion. From these embeddings, or from their associated modular invariants, we determine the algebras of quantum symmetries, obtain their generators, and, as a by-product, recover the known graphs E4SU4, E6SU4 and E8SU4 describing exceptional quantum subgroups of type SU4. We also obtain characteristic numbers quantum cardinalities, dimensions for each of them and for their associated quantum groupoids.



Autor: Robert Coquereaux; Gil Schieber

Fuente: https://archive.org/







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