Fermionic pole-skipping in de Sitter spacetime

TL;DR

The paper analyzes fermionic pole-skipping in higher-dimensional de Sitter spacetime by deriving the pole-skipping structure for Dirac spin-1/2 and Rarita-Schwinger spin-3/2 fields in a 4D dS static patch using Eddington-Finkelstein coordinates. It finds that the leading-order pole-skipping points—both frequency and momentum—coincide with those in AdS when the horizon ingoing condition is chosen, and provides explicit all-order fermionic pole-skipping sequences for the Dirac field. While the frequencies of higher-order points follow the AdS-like ladder $\omega_* = -(2n-1) i \pi T$, the corresponding momenta exhibit a distinct discrete pattern, reflecting differences in the underlying spacetime and boundary conditions. These results reinforce a shared fermionic pole-skipping structure at leading order between dS and AdS spacetimes and offer perspectives on dS/CFT correspondence and horizon-condition choices in holography.

Abstract

We obtain the pole-skipping structure of the Fermionic field in the higher-dimensional de Sitter (dS) spacetime. Furthermore, we find that both the Dirac field with spin-1/2 and the Rarita-Schwinger field with spin-3/2 exhibit the same frequency and momentum of their leading-order pole-skipping points as those in the anti-de Sitter (AdS) spacetime.