Holography on local fields via Radon Transform
High Energy Physics - Theory
2018-10-17 v2 Mathematical Physics
Differential Geometry
math.MP
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
Cite
@article{arxiv.1805.07189,
title = {Holography on local fields via Radon Transform},
author = {Samrat Bhowmick and Koushik Ray},
journal= {arXiv preprint arXiv:1805.07189},
year = {2018}
}
Comments
1+15 pages LaTeX2e. 1 Figure. A few clarifying comments added. Version published in JHEP