Causality and the conformal boundary of AdS in real-time holography

Details Causality and the conformal boundary of AdS in real-time holography Causality and the conformal boundary of AdS in real-time holography

2012-03-13

arxiv.org/abs/1203.2743v1

Physics

Mathematical Physics

5 pages

Scientific paper

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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