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Causality and the conformal boundary of AdS space in real time holography
Phys. Rev. D 85, 106016 – Published 30 May, 2012
DOI: https://doi.org/10.1103/PhysRevD.85.106016
Abstract
We consider the holographic prescription problem in a (Lorentzian) AdS background, deriving from first principles the explicit formulas that relate the field at infinity with the field in the bulk. In contrast with the previous studies of the “real-time” holography problem, our derivation uses purely classical arguments that involve causality, as in the usual treatment of the holographic prescription problem in Wick-rotated spaces of Euclidean signature. We show that there is a unique propagator that preserves causality and see that this provides a simple picture of the relationship between the bulk manifold and its conformal boundary.
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