Tall tales from de Sitter space II: Field theory dualities

TL;DR

This paper explores the evolution of scalar fields in de Sitter space and proposes new nonlocal dualities in the dual conformal field theory via the dS/CFT correspondence, with explicit examples for massless fields.

Contribution

It introduces novel nonlocal dualities for Euclidean CFTs arising from scalar field dynamics in de Sitter space, extending the dS/CFT framework.

Findings

Identification of new nonlocal dualities in Euclidean CFTs

Explicit analysis for massless conformally coupled scalars

Extension to 'tall' background spacetimes

Abstract

We consider the evolution of massive scalar fields in (asymptotically) de Sitter spacetimes of arbitrary dimension. Through the proposed dS/CFT correspondence, our analysis points to the existence of new nonlocal dualities for the Euclidean conformal field theory. A massless conformally coupled scalar field provides an example where the analysis is easily explicitly extended to 'tall' background spacetimes.