Holographic Central Charge for 2-Dimensional de Sitter Space

TL;DR

This paper computes the holographic central charge for 2D de Sitter space using a modified Hamiltonian method, confirming the dS/CFT correspondence through entropy agreement.

Contribution

It introduces a modified canonical Hamiltonian approach for calculating the central charge in 2D de Sitter space, supporting the holographic duality conjecture.

Findings

Computed the central charge using a new method.

Confirmed the match between Cardy and thermodynamic entropy.

Supported the dS/CFT correspondence in 2D de Sitter space.

Abstract

Recently, investigations have begun into a holographic duality for two-dimensional de Sitter space. In this paper, we evaluate the associated central charge, using a modified version of the canonical Hamiltonian method that was first advocated by Catelani {\it et al}. Our computation agrees with that of a prior work (Cadoni {\it et al}), but we argue that the method used here is, perhaps, aesthetically preferable on holographic grounds. We also confirm an agreement between the Cardy and thermodynamic entropy, thus providing further support for the conjectured two-dimensional de Sitter/conformal field theory correspondence.