Two-dimensional dS/CFT correspondence

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.

18 pages, Latex file

References in corpus (9)

• The dS/CFT Correspondence
• Mass, Entropy and Holography in Asymptotically de Sitter Spaces
• Some Aspects of the de Sitter/CFT Correspondence
• Action, Mass and Entropy of Schwarzschild-de Sitter black holes and the de Sitter/CFT Correspondence
• Entropy of the three dimensional Schwarzschild-de Sitter black hole
• The Asymptotic Dynamics of two-dimensional (anti-)de Sitter Gravity
• The Cardy-Verlinde formula for 2D gravity
• dS/CFT Correspondence in Two Dimensions
• CMB and Inflation: the report from Snowmass 2001

Cited by in corpus (10)

• Dilaton Gravity in Two Dimensions
• Closed String Tachyon Condensation and Worldsheet Inflation
• Logarithmic correction to the Cardy-Verlinde formula in Achucarro-Oritz Black Hole
• AdS_2 Supergravity and Superconformal Quantum Mechanics
• Logarithmic correction to the Cardy-Verlinde formula in Topological Reissner-Nordström de Sitter Space
• A prototype for dS/CFT
• Statistical entropy of the Schwarzschild black hole
• Tachyons in de Sitter space and analytical continuation from dS/CFT to AdS/CFT
• Holographic Central Charge for 2-Dimensional de Sitter Space
• Statistical entropy of two-dimensional dilaton de Sitter space