Holography on local fields via Radon transform

A bstract 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 in...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2018; no. 9; pp. 1 - 16
Main Authors Bhowmick, Samrat, Ray, Koushik
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2018
Springer Nature B.V
SpringerOpen
Subjects
AdS-CFT Correspondence
Classical and Quantum Gravitation
Differential and Algebraic Geometry
Elementary Particles
Field Theories in Lower Dimensions
High energy physics
Holography
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Radon transformation
Regular Article - Theoretical Physics
Relativity Theory
String Theory
AdS-CFT Correspondence
Field Theories in Lower Dimensions
Differential and Algebraic Geometry
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2018)126