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 SO(1, D) representation.
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Sun, Z. Higher spin de Sitter quasinormal modes. J. High Energ. Phys. 2021, 25 (2021). https://doi.org/10.1007/JHEP11(2021)025
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DOI: https://doi.org/10.1007/JHEP11(2021)025