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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149162 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862650882858942464 |
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| author | Coquereaux, R. Schieber, G. |
| author_facet | Coquereaux, R. Schieber, G. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-01T18:21:48Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149162 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T18:21:48Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Coquereaux, R. Schieber, G. 2019-02-19T17:52:15Z 2019-02-19T17:52:15Z 2009 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 https://nasplib.isofts.kiev.ua/handle/123456789/149162 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings Article published earlier |
| spellingShingle | Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings Coquereaux, R. Schieber, G. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149162 |
| work_keys_str_mv | AT coquereauxr quantumsymmetriesforexceptionalsu4modularinvariantsassociatedwithconformalembeddings AT schieberg quantumsymmetriesforexceptionalsu4modularinvariantsassociatedwithconformalembeddings |