Local bulk operators in AdS/CFT: a boundary view of horizons and locality

Abstract

We develop the representation of local bulk fields in AdS by non-local operators on the boundary, working in the semiclassical limit and using AdS_2 as our main example. In global coordinates we show that the boundary operator has support only at points which are spacelike separated from the bulk point. We construct boundary operators that represent local bulk operators inserted behind the horizon of the Poincare patch and inside the Rindler horizon of a two dimensional black hole. We show that these operators respect bulk locality and comment on the generalization of our construction to higher dimensional AdS black holes.

28 pages, 4 figures, latex

References in corpus (3)

• States and Boundary Terms: Subtleties of Lorentzian AdS/CFT
• Non-Local Effects of Multi-Trace Deformations in the AdS/CFT Correspondence
• Causal structures and holography

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