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...
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2009 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2009
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149162 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-149162 |
|---|---|
| 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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings |
| spellingShingle |
Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings Coquereaux, R. Schieber, G. |
| 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 |
| author |
Coquereaux, R. Schieber, G. |
| author_facet |
Coquereaux, R. Schieber, G. |
| publishDate |
2009 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT coquereauxr quantumsymmetriesforexceptionalsu4modularinvariantsassociatedwithconformalembeddings AT schieberg quantumsymmetriesforexceptionalsu4modularinvariantsassociatedwithconformalembeddings |
| first_indexed |
2025-12-01T18:21:48Z |
| last_indexed |
2025-12-01T18:21:48Z |
| _version_ |
1850860811564613632 |