Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings
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, obt...
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| Дата: | 2009 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2009
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149162 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1491622019-02-20T01:27:53Z Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings Coquereaux, R. Schieber, G. 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. 2009 Article 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. 1815-0659 2000 Mathematics Subject Classification: 81R50; 16W30; 18D10 http://dspace.nbuv.gov.ua/handle/123456789/149162 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Coquereaux, R. Schieber, G. |
| spellingShingle |
Coquereaux, R. Schieber, G. Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Coquereaux, R. Schieber, G. |
| author_sort |
Coquereaux, R. |
| title |
Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings |
| title_short |
Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings |
| title_full |
Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings |
| title_fullStr |
Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings |
| title_full_unstemmed |
Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings |
| title_sort |
quantum symmetries for exceptional su(4) modular invariants associated with conformal embeddings |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149162 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT coquereauxr quantumsymmetriesforexceptionalsu4modularinvariantsassociatedwithconformalembeddings AT schieberg quantumsymmetriesforexceptionalsu4modularinvariantsassociatedwithconformalembeddings |
| first_indexed |
2023-05-20T17:32:28Z |
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2023-05-20T17:32:28Z |
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1796153526660890624 |