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

• Main Authors: Thomas Basile, Xavier Bekaert, Nicolas Boulanger
• Format: Article
• Language: English
• Published: SpringerOpen 2017-05-01
• Series: Journal of High Energy Physics
• Subjects: Field Theories in Higher Dimensions; Gauge Symmetry
• Online Access: http://link.springer.com/article/10.1007/JHEP05(2017)081

Abstract We derive the characters of all unitary irreducible representations of the (d+1)-dimensional de Sitter spacetime isometry algebra so 1 , d + 1 $$ \mathfrak{so}\left(1,\kern0.5em d+1\right) $$ , 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.