A novel holographic framework preserving reflection positivity in dSd spacetime

Abstract

This manuscript introduces a novel holographic correspondence in d-dimensional de Sitter (dSd) spacetime, connecting bulk dSd scalar unitary irreducible representations (UIRs) with their counterparts at the dSd boundary I±, all while preserving reflection positivity. The proposed approach, with potential applicability to diverse dSd UIRs, is rooted in the geometry of the complex dSd spacetime and leverages the inherent properties of the (global) dSd plane waves, as defined within their designated tube domains.