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One massless particle equals two Dirac singletons

โœ Scribed by M. Flato; C. Fronsdal

Book ID
104757946
Publisher
Springer
Year
1978
Tongue
English
Weight
276 KB
Volume
2
Category
Article
ISSN
0377-9017

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โœฆ Synopsis

The 'remarkable representations of the 3+2 de Sitter group', discovered by Dirac, later called singleton representations and here denoted Di and Rac, are shown to possess the following truly remarkable property: Each of the direct products Di | Di, Di | Rac, and Rac | Rac

decomposes into a direct sum of unitary, irreducible representations, each of which admits an extension to a unitary, irreducible representation of the conformal group S0(4, 2). Therefore, in de Sitter space, every state of a free, 'massless' particle may be interpreted as a state of two free singletons -and vice versa. The term 'massless' is associated with a set of particle-like representations of S0(3, 2) that, besides the noted conformal extension, exhibit other phenomena typical of masslessness, especially gauge invariance.

๐Ÿ“œ SIMILAR VOLUMES

On the equivalence of the Lagrangians of
On the equivalence of the Lagrangians of massless dirac and supersymmetrical particles
โœ D. V. Volkov; A. A. Zheltukhin ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Springer ๐ŸŒ English โš– 274 KB

The classical equivalence between the Lagrangians of massless spinning and supersymmetrical particles presented in terms of u A and Grassmannian 0 A Weyl spinor variables is established. It is shown that the condition of the reverse Higgs effect for a spinor invariant superform leads to the extensio