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Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons

Vernadsky National Library of Ukraine

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Title Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons
 
Creator Bekaert, X.
Grigoriev, M.
 
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.
 
Date 2019-02-08T20:31:07Z
2019-02-08T20:31:07Z
2010
 
Type Article
 
Identifier 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
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України