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arxiv: 1705.06985 · v3 · pith:I6GOW5ABnew · submitted 2017-05-19 · ✦ hep-th

Bulk reconstruction in AdS and Gel'fand-Graev-Radon Transform

Samrat Bhowmick , Koushik Ray , Siddhartha Sen This is my paper
classification ✦ hep-th
keywords bulkcorrelationfand-graev-radonfieldfunctionsreconstructionrelatedscalar
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The bulk reconstruction formula for a Euclidean anti-de Sitter space is directly related to the inverse of the Gel'fand-Graev-Radon transform. Correlation functions of a conformal scalar field theory in the boundary are thereby related to correlation functions of a self-interacting scalar field theory in the bulk at different loop orders.

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  1. Minkowski Space holography and Radon transform

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    Relates free scalar in Minkowski space to codimension-two sphere field via Radon transform to dS/EAdS slice and bulk reconstruction, with Mellin modes as generalized hypergeometric functions via Lee-Pomeransky method.