Minkowski Space holography and Radon transform
Abstract
We relate a free scalar field in the Minkowski spacetime with a scalar field with a certain scaling dimension on a sphere of codimension two. This is realised by first performing a Radon transform of the ``bulk" field on the Minkowski space to a field on a hyperplane identified with a de Sitter or Euclidean anti-de Sitter slice. The Radon transform is identified in turn with a scalar field obtained from a sphere of one further lower dimension through the so-called bulk reconstruction programme. We write down the Mellin modes of the bulk field as generalised hypergeometric functions using the Lee-Pomeransky method developed for evaluation of Feynman loop diagrams.
Keywords
Cite
@article{arxiv.2509.04974,
title = {Minkowski Space holography and Radon transform},
author = {Samrat Bhowmick and Koushik Ray},
journal= {arXiv preprint arXiv:2509.04974},
year = {2026}
}
Comments
26 pages, 1 figure, Accepted for publication in JHEP, Added 2 new sections, Section 5: discussed limit of massless scalar, Section 6: incorporated representation-theoretic perspective using parabolic induction