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Quantum Symmetries for Exceptional SU(4) Modular Invariants Associated with Conformal Embeddings

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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Main Authors: Coquereaux, R., Schieber, G.
Format: Article
Language:English
Published: Інститут математики НАН України 2009
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/149162
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spelling 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
last_indexed 2023-05-20T17:32:28Z
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