Holography on local fields via Radon transform

• DOI: 10.1007/jhep09(2018)126
• Publication Date: 2018-09-21T07:01:39Z
• Authors: Samrat Bhowmick; Koushik Ray
• Keywords: High Energy Physics - Theory; Mathematics - Differential Geometry; Field Theories in Lower Dimensions; FOS: Physical sciences; QC770-798; Mathematical Physics (math-ph); AdS-CFT Correspondence; 01 natural sciences; High Energy Physics - Theory (hep-th); Differential Geometry (math.DG); Nuclear and particle physics. Atomic energy. Radioactivity; FOS: Mathematics; Differential and Algebraic Geometry; 0101 mathematics; Mathematical Physics

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.