A Novel Holographic Framework Preserving Reflection Positivity in dS$_d$ Spacetime

Jean-Pierre Gazeau; Mariano A. del Olmo; Hamed Pejhan

doi:10.1016/j.physletb.2023.138402

paper

A Novel Holographic Framework Preserving Reflection Positivity in dS $_{d}$ Spacetime

arXiv:2309.02122 · doi:10.1016/j.physletb.2023.138402

Abstract

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

6 pages, no figure, version accepted for publication in Physics Letters B

A Novel Holographic Framework Preserving Reflection Positivity in dSd​ Spacetime

Abstract

A Novel Holographic Framework Preserving Reflection Positivity in dS $_{d}$ Spacetime