|
This article is cited in 46 scientific papers (total in 46 papers)
Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons
Xavier Bekaertab, Maxim Grigorievc a Université François Rabelais, Parc de Grandmont, 37200 Tours, France
b Laboratoire de Mathématiques et Physique Théorique, Unité Mixte de Recherche 6083 du CNRS, Fédération Denis Poisson
c Tamm Theory Department, Lebedev Physics Institute, Leninsky prospect 53, 119991 Moscow, Russia
Abstract:
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.
Keywords:
higher symmetries; conformal symmetry.
Received: November 9, 2009; in final form April 23, 2010; Published online May 7, 2010
Citation:
Xavier Bekaert, Maxim Grigoriev, “Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons”, SIGMA, 6 (2010), 038, 18 pp.
Linking options:
https://www.mathnet.ru/eng/sigma495 https://www.mathnet.ru/eng/sigma/v6/p38
|
Statistics & downloads: |
Abstract page: | 402 | Full-text PDF : | 59 | References: | 65 |
|