Higher spin de Sitter quasinormal modes

Abstract

We construct higher spin quasinormal modes algebraically in $D$-dimensional de Sitter spacetime using the ambient space formalism. The quasinormal modes fall into two nonunitary lowest-weight representations of $\mathfrak{so}(1,D)$. From a local QFT point of view, the lowest-weight quasinormal modes of massless higher spin fields are produced by gauge-invariant boundary conserved currents and boundary higher-spin Weyl tensors inserted at the southern pole of the past boundary. We also show that the quasinormal spectrum of a massless/massive spin-$s$ field is precisely encoded in the Harish-Chandra character corresponding to the unitary massless/massive spin-$s$ $\text{SO}(1,D)$ representation.

38 pages, 1 figure

References in corpus (10)

• Spinning AdS Propagators
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• Quasinormal modes of D-dimensional de Sitter spacetime
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: II. Oscillator Realization
• Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
• Partition Functions, the Bekenstein Bound and Temperature Inversion in Anti-de Sitter Space and its Conformal Boundary
• Manifest Duality for Partially Massless Higher Spins
• Higher Spin de Sitter Hilbert Space
• Lectures on Higher Spin Holography

Cited by in corpus (6)

• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• Ladder Symmetries of Black Holes and de Sitter Space: Love Numbers and Quasinormal Modes
• A note on the representations of $\text{SO}(1,d+1)$
• Tensors and Spinors in de Sitter Space
• AdS one-loop partition functions from bulk and edge characters
• Characters, quasinormal modes, and Schwinger pairs in $d{S}_2$ with flux