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Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons
The usual ambient space approach to conformal fields is based on identifying the d-dimensional conformal space as the Dirac projective hypercone in a flat d+2-dimensional ambient space. In this work, we explicitly concentrate on singletons of any integer spin and propose an approach that allows one...
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Інститут математики НАН України
2010
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/146315 |
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irk-123456789-1463152019-02-10T01:23:45Z Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons Bekaert, X. Grigoriev, M. The usual ambient space approach to conformal fields is based on identifying the d-dimensional conformal space as the Dirac projective hypercone in a flat d+2-dimensional ambient space. In this work, we explicitly concentrate on singletons of any integer spin and propose an approach that allows one to have both locality and conformal symmetry manifest. This is achieved by using the ambient space representation in the fiber rather than in spacetime. This approach allows us to characterize a subalgebra of higher symmetries for any bosonic singleton, which is a candidate higher-spin algebra for mixed symmetry gauge fields on anti de Sitter spacetime. Furthermore, we argue that this algebra actually exhausts all higher symmetries. 2010 Article Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons / X. Bekaert, M. Grigoriev // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 59 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 70S10; 51P05 DOI:10.3842/SIGMA.2010.038 http://dspace.nbuv.gov.ua/handle/123456789/146315 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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English |
| description |
The usual ambient space approach to conformal fields is based on identifying the d-dimensional conformal space as the Dirac projective hypercone in a flat d+2-dimensional ambient space. In this work, we explicitly concentrate on singletons of any integer spin and propose an approach that allows one to have both locality and conformal symmetry manifest. This is achieved by using the ambient space representation in the fiber rather than in spacetime. This approach allows us to characterize a subalgebra of higher symmetries for any bosonic singleton, which is a candidate higher-spin algebra for mixed symmetry gauge fields on anti de Sitter spacetime. Furthermore, we argue that this algebra actually exhausts all higher symmetries. |
| format |
Article |
| author |
Bekaert, X. Grigoriev, M. |
| spellingShingle |
Bekaert, X. Grigoriev, M. Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Bekaert, X. Grigoriev, M. |
| author_sort |
Bekaert, X. |
| title |
Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons |
| title_short |
Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons |
| title_full |
Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons |
| title_fullStr |
Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons |
| title_full_unstemmed |
Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons |
| title_sort |
manifestly conformal descriptions and higher symmetries of bosonic singletons |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146315 |
| citation_txt |
Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons / X. Bekaert, M. Grigoriev // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 59 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT bekaertx manifestlyconformaldescriptionsandhighersymmetriesofbosonicsingletons AT grigorievm manifestlyconformaldescriptionsandhighersymmetriesofbosonicsingletons |
| first_indexed |
2023-05-20T17:24:17Z |
| last_indexed |
2023-05-20T17:24:17Z |
| _version_ |
1796153214199922688 |