Quantum symmetries for exceptional SU(4) modular invariants associated with conformal embeddings

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dc.creatorCoquereaux, Robert
dc.creatorSchieber, Gil
dc.date2008-05-30
dc.date2009-04-14
dc.date.accessioned2026-07-07T13:03:00Z
dc.date.available2026-07-07T13:03:00Z
dc.descriptionThree exceptional modular invariants of SU(4) 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 E4(SU4), E6(SU4) and E8(SU4) describing exceptional quantum subgroups of type SU(4). We also obtain characteristic numbers (quantum cardinalities, dimensions) for each of them and for their associated quantum groupoids.
dc.description33 pages, 3 color figures
dc.identifierhttps://arxiv.org/abs/0805.4678
dc.identifierhttp://arxiv.org/abs/0805.4678
dc.identifierSymmetry, Integrability and Geometry: Methods and Applications 5, 044 (2009) http://www.emis.de/journals/SIGMA/2009/044/
dc.identifierdoi:10.3842/SIGMA.2009.044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226646
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject81R50, 16W30, 18D10
dc.titleQuantum symmetries for exceptional SU(4) modular invariants associated with conformal embeddings
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