Mixed-symmetry fields in de Sitter space: a group theoretical glance

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.
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JHEP, 2017, 05, pp.081. 〈10.1007/JHEP05(2017)081〉
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Soumis le : lundi 3 juillet 2017 - 18:25:53
Dernière modification le : mercredi 20 mars 2019 - 08:52:13

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Thomas Basile, Xavier Bekaert, Nicolas Boulanger. Mixed-symmetry fields in de Sitter space: a group theoretical glance. JHEP, 2017, 05, pp.081. 〈10.1007/JHEP05(2017)081〉. 〈hal-01554905〉

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