Two-dimensional dS/CFT correspondence

TL;DR

This paper explores the two-dimensional de Sitter/conformal field theory (dS/CFT) correspondence, establishing parallels with AdS/CFT, and calculates boundary correlators and entropy, revealing consistent conformal properties despite tachyonic bulk perturbations.

Contribution

It formulates the dS/CFT correspondence in two dimensions, defining conserved mass, asymptotic symmetries, and entropy, and compares these with AdS counterparts, providing new insights into holography in de Sitter space.

Findings

Asymptotic symmetry group and central charge match AdS results.

Boundary correlators have positive conformal dimensions despite bulk tachyonic perturbations.

De Sitter entropy is computed using the Cardy formula.

Abstract

We investigate de Sitter/conformal field theory (dS/CFT) correspondence in two dimensions. We define the conserved mass of de Sitter spacetime and formulate the correspondence along the lines of anti-de Sitter/conformal field theory duality. Asymptotic symmetry group, mass, and central charge of de Sitter spacetime are equal to those of anti-de Sitter spacetime. The entropy of two-dimensional de Sitter spacetime is evaluated by applying Cardy formula. We calculate the boundary correlators induced by the propagation of the dilaton in two-dimensional de Sitter space. Although the dilaton is a tachyonic perturbation in the bulk, boundary conformal correlators have positive dimension.