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arxiv: 1805.07189 · v2 · pith:YTSBWKRSnew · submitted 2018-05-18 · ✦ hep-th · math-ph· math.DG· math.MP

Holography on local fields via Radon Transform

classification ✦ hep-th math-phmath.DGmath.MP
keywords fieldslocalradontransforminversespaceanti-debulk
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We define Radon transform and its inverse on the two-dimensional anti-de Sitter space over local fields using a novel construction through a quadratic equation over the local field. We show that the holographic bulk reconstruction of quantum fields in this space can be formulated as the inverse Radon transform, generalizing the case over the reals, studied earlier.

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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.