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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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https://hal.archives-ouvertes.fr/hal-01554905
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Submitted on : Monday, July 3, 2017 - 6:25:53 PM
Last modification on : Wednesday, May 20, 2020 - 3:29:52 AM

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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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