Holographic CFTs on maximally symmetric spaces: correlators, integral transforms and applications

Abstract

We study one and two point functions of conformal field theories on spaces of maximal symmetry with and without boundaries and investigate their spectral representations. Integral transforms are found, relating the spectral decomposition to renormalized position space correlators. Several applications are presented, including the holographic boundary CFTs as well as spacelike boundary CFTs, which provide realizations of the pseudo-conformal universe.

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• Metamorphosis of the Cosmological Constant and 5D Origin of the Fiducial Metric
• Topological Non-Fermi Liquid
• Scale and Conformal Invariance on (A)dS
• Holographic Van der Waals phase transition of the higher dimensional electrically charged hairy black hole
• On the EFT of Conformal Symmetry Breaking
• Holographic 2-Point Functions in the Pseudo-Conformal Universe
• Finite temperature charge and current densities around a cosmic string in AdS spacetime with compact dimension
• Electromagnetic Wightman functions and vacuum densities for a brane intersecting the AdS boundary