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

DOI10.1007/JHEP05(2017)081zbMATH Open1380.81189arXiv1612.08166MaRDI QIDQ682969

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Publication date: 5 February 2018

Published in: (Search for Journal in Brave)

Abstract: We rederive the characters of all unitary irreducible representations of the $(d+1)$-dimensional de Sitter spacetime isometry algebra $mathfrakso(1,d+1)$, 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 comment on a possible equivalent of the scalar singleton for the de Sitter (dS) spacetime.

Full work available at URL: https://arxiv.org/abs/1612.08166

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