Holography on local fields via Radon transform
Journal of High Energy Physics
September 2018, 2018:126 | Cite as
Holography on local fields via Radon transform
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Samrat BhowmickKoushik Ray
Open Access
Regular Article - Theoretical Physics
First Online: 20 September 2018
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Abstract
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.
Keywords AdS-CFT Correspondence Differential and Algebraic Geometry Field Theories in Lower Dimensions
ArXiv ePrint: 1805.07189
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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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Copyright information
© The Author(s) 2018
Authors and Affiliations
Samrat Bhowmick1Koushik Ray1Email author1.Department of Theoretical PhysicsIndian Association for the Cultivation of ScienceKolkataIndia
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