English

Characters, Quasinormal Modes, and Quantum de Sitter Thermodynamics

High Energy Physics - Theory 2023-04-26 v2 General Relativity and Quantum Cosmology

Abstract

In this short note, we review some recent progress in understanding the 1-loop corrections to the Gibbons-Hawking entropy, which amounts to studying free fields on the de Sitter static patch and the round sphere. After briefly surveying the unitary irreducible representations of the de Sitter group SO(1,d+1)SO(1,d+1) and their Harish-Chandra characters, we discuss the Lorentzian interpretation for the 1-loop sphere path integral for a scalar. After that we comment on how the results are modified by edge contributions for spinning fields.

Keywords

Cite

@article{arxiv.2304.01471,
  title  = {Characters, Quasinormal Modes, and Quantum de Sitter Thermodynamics},
  author = {Y. T. Albert Law},
  journal= {arXiv preprint arXiv:2304.01471},
  year   = {2023}
}

Comments

20 pages, 2 figures. Written contribution to the Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity", 28 August - 1 October, 2022. A figure error was fixed

R2 v1 2026-06-28T09:48:09.077Z