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- Title
Mixed-symmetry fields in de Sitter space: a group theoretical glance.
- Authors
Basile, Thomas; Bekaert, Xavier; Boulanger, Nicolas
- Abstract
We derive the characters of all unitary irreducible representations of the ( d+1)-dimensional de Sitter spacetime isometry algebra $$ \mathfrak{so}\left(1,\kern0.5em d+1\right) $$ , and propose a dictionary between those representations and massive or (partially) massless fields on de Sitter spacetime. We propose a way of taking the flat limit of representations in (anti-) de Sitter spaces in terms of these characters, and conjecture the spectrum resulting from taking the flat limit of mixed-symmetry fields in de Sitter spacetime. We identify the equivalent of the scalar singleton for the de Sitter (dS) spacetime.
- Subjects
SYMMETRY (Physics); GROUP theory; IRREDUCIBLE polynomials; SPACETIME; FIELD theory (Physics)
- Publication
Journal of High Energy Physics, 2017, Vol 2017, Issue 5, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP05(2017)081