Through the Looking-Glass, and What AdS Found There: quantum particle production with a Whittaker spectrum

Abstract

Parity-inverted anti-de Sitter space -- ``flipped AdS'' -- is studied through the accelerating boundary correspondence of a moving mirror trajectory. The particle production exhibits positive energy flux and a finite total energy (both unlike AdS). The particle spectrum is of Whittaker form, with some similarities to a Planck thermal spectrum. We also derive the corresponding spacetime metric, with similarities to regular de Sitter space, but exhibiting a tower of repeated causal regions with horizons.