(A)dS Holography with a Cut-off

Abstract

We find out the smearing/ transfer functions that relate a local bulk operator with its boundary values at a cut-off surface located at $z=z_0$ of the AdS Poincaré patch. We compare these results with de Sitter counterparts and comment on their connections with corresponding construction for dS/ CFT. As the boundary values can help define the required field theory at $z=z_0$ and encode bulk locality in terms of it, our work can provide key information about holographic RG in the context of AdS/ CFT.

v.2 Minor modifications over v.1. Journal version. 32 pages, 3 figures

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• The AdS/CFT partition function, AdS as a lift of a CFT, and holographic RG flow from conformal deformations