(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=z0 of the AdS Poincar\'e 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=z0 and encode bulk locality in terms of it, our work can provide key information about holographic RG in the context of AdS/ CFT.
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