Tachyons in de Sitter space and analytical continuation from dS/CFT to AdS/CFT

Abstract

We discuss analytic continuation from d-dimensional Lorentzian de Sitter (dS${}_d$) to d-dimensional Lorentzian anti-de Sitter (AdS${}_d$) spacetime. We show that AdS${}_d$, with opposite signature of the metric, can be obtained as analytic continuation of a portion of dS${}_d$. This implies that the dynamics of (positive square-mass) scalar particles in AdS${}_d$ can be obtained from the dynamics of tachyons in dS${}_d$. We discuss this correspondence both at the level of the solution of the field equations and of the Green functions. The AdS/CFT duality is obtained as analytic continuation of the dS/CFT duality.

arXiv comment17 pages, 1 figure, JHEP style

References in corpus (14)

• Gauge Theory Correlators from Non-Critical String Theory
• Large N Field Theories, String Theory and Gravity
• The World as a Hologram
• The dS/CFT Correspondence
• Dimensional Reduction in Quantum Gravity
• Mass, Entropy and Holography in Asymptotically de Sitter Spaces
• Conformal Vacua and Entropy in de Sitter Space
• Asymptotic symmetries of AdS_2 and conformal group in d=1
• Some Aspects of the de Sitter/CFT Correspondence
• Entropy of 2D black holes from counting microstates
• Vacuum States and the S-Matrix in dS/CFT
• Exploring the Similarities of the dS/CFT and Ads/CFT Correspondences
• Two-dimensional dS/CFT correspondence
• Holographic Central Charge for 2-Dimensional de Sitter Space

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