Exploring the Similarities of the dS/CFT and Ads/CFT Correspondences

Abstract

The dS/CFT correspondence differs from its AdS/CFT counterpart in some ways, yet is strikingly similar to it in many others. For example, both involve CFTs defined on connected spaces (despite the fact that the conformal boundary of deSitter space is not connected), and both impose constraints on scalar masses (Strominger's bound for deSitter, and the Breitenlohner-Freedman bound for Anti-deSitter). We argue that these similarities can be explored and exploited using a slight extension of the Euclidean approach to AdS/CFT. The methods are particularly compatible with Hull's embedding of deSitter Space in a timelike T-dual version of M-theory.

Typos fixed, minor clarifications

References in corpus (4)

• String Theory and Quintessence
• The Acceleration of the Universe, a Challenge for String Theory
• Deconstructing de Sitter
• A Positive Cosmological Constant in String Theory Through Ads/CFT Wormholes

Cited by in corpus (31)

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• Radiation via Tunneling from a de Sitter Cosmological Horizon
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• Inflation, holography, and the choice of vacuum in de Sitter space
• Corrections to the Cardy-Verlinde formula from the generalized uncertainty principle
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• Signatures of extra dimensions in gravitational waves
• The Generalized Uncertainty Principle and Corrections to the Cardy-Verlinde Formula in $SAd{S}_5$ Black Holes
• (Anti-) de Sitter Black Holes in higher derivative gravity and dual Conformal Field Theories
• Support of dS/CFT correspondence from space-time perturbations
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• Bouncing Cosmologies and Self-Gravitational Corrections
• de Sitter entropy from conformal field theory
• Cardy-Verlinde Formula and Achucarro-Ortiz Black Hole
• Nutty Bubbles
• Quintessential Maldacena-Maoz Cosmologies
• Answering a Basic Objection to Bang/Crunch Holography
• Thermality in de Sitter and Holography
• Space Noncommutativity Corrections to the Cardy-Verlinde Formula
• Tachyons in de Sitter space and analytical continuation from dS/CFT to AdS/CFT
• Corrections to the Cardy-Verlinde formula from the modified dispersion relation in extra dimensions
• N-dimensional Vaidya metric with cosmological constant in double-null coordinates
• The Geometry of The Entropic Principle and the Shape of the Universe
• Spinors in Supersymmetric dS/CFT
• Holographic Central Charge for 2-Dimensional de Sitter Space
• Self-gravitational corrections to the Cardy-Verlinde formula of charged BTZ black hole
• Unitarity at Infinity and Topological Holography
• Remark About dS/CFT Correspondence