De Sitter-invariant States from Holography

Abstract

A class of invariant states under de Sitter isometries is constructed in d-dimensional Conformal Field Theories from the universal sector of AdS/CFT dualities. These states extend the Mottola-Allen $\alpha$-vacua to theories containing scalar primary operators of arbitrary scaling dimensions, and are proven to explicitly break conformal symmetry. Two-point correlators in these states are shown to satisfy a generalized spectral decomposition in terms of free massive propagators. It is also pointed out that the spectral decomposition of generic Euclidean correlators is known in the mathematics literature as Olevsky index transform, of which computational use can be made.

30 pages, matches the version published in Class. and Quant. Grav

References in corpus (7)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Holographic Schwinger effect in de Sitter space
• Entanglement entropy of $\alpha$-vacua in de Sitter space
• de Sitter Supersymmetry Revisited
• Fluctuation and dissipation in de Sitter space
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• Relative Entropy in de Sitter is a Noether Charge
• Non-commutative Geometry from Perturbative Quantum Gravity in de Sitter spacetime
• A CFT interpretation of cosmological correlation functions in $\alpha -$vacua in de-Sitter space
• Corrections to de Sitter entropy through holography
• Entropy-area law and temperature of de Sitter horizons from modular theory
• Quantum (in)stability of maximally symmetric space-times
• Holographic duality and mode stability of de Sitter space in semiclassical gravity