Exact and Finite de Sitter QFT from CFT

Abstract

Parallel to the AdS Scale-Space construction in \cite{Yang:2026AdS}, we construct a $(d+1)$-dimensional de Sitter QFT directly from $d$-dimensional CFT data. The dS geometry is the moduli space of oriented balls, and the lifted operators are obtained by conformal-family Casimir completion. The Euclidean parent CFT gives a finite wavefunction representation, while the Minkowski parent CFT gives a double-time representation that is unitary in the parent-time polarization. This provides a CFT-based framework for reexamining puzzles of dS and double-time QFT.

V2: Added a section to discuss the multiplicity of conformal-moduli-spaces, dualities and physical time choice. Since the precursor, in which we constructed AdS QFT from CFT, has remained under arXiv moderation with no clear timeline for its release, for the sake of self-contained completeness, we are compelled to include an appendix giving a concise overview