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Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons
Інший ID:
2010 Mathematics Subject Classification: 70S10; 51P05
DOI:10.3842/SIGMA.2010.038
DOI:10.3842/SIGMA.2010.038
Посилання:
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.
Підтримка:
We are grateful to G. Barnich for collaboration on the initial stage of this project and to Universite Libre de Bruxelles and International Solvay Institutes for their kind hospitality while part of this work was being carried over. We are also grateful to A. Sergeev for some explanations of his works [57, 58]. X.B. acknowledges M.A. Vasiliev for helpful comments on his paper [25], M. Tsulaia for useful discussions, and especially N. Boulanger for early collaboration on manifestly conformal wave equations for singletons of integer spin. M.G. thanks G. Bonelli, E. Feigin, R. Metsaev and M.A. Vasiliev for discussions. The work of M.G. is supported by the RFBR grant 10-01-00408 and RFBR-CNRS grant 09-01-93105.
Дата:
2010
Переглядів:
541
Завантажень:
285
Анотація:
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.
