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Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings
Інший ID:
2000 Mathematics Subject Classification: 81R50; 16W30; 18D10
Посилання:
Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings / R. Coquereaux, G. Schieber // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 43 назв. — англ.
Підтримка:
This research was supported in part by the ANR program “Geometry and Integrability in Mathematical Physics”, GIMP, ANR-05-BLAN-0029-0. One of us (R.C.) thanks the Centre de Recerca Matem`atica (CRM), Bellaterra, Universitat Aut`onoma de Barcelona, where part of this work was done, for its support.
Дата:
2009
Переглядів:
323
Завантажень:
238
Анотація:
Three 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, E6 and E8 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 groupoïds.
