Quantum fields in anti de Sitter spacetime and degrees of freedom in the bulk/boundary correspondence

TL;DR

This paper investigates the quantization of scalar fields in anti de Sitter spacetime, revealing a discrete spectrum that supports the bulk/boundary correspondence in holography.

Contribution

It introduces a quantization scheme in Poincaré coordinates that demonstrates a discrete spectrum consistent with bulk-boundary mapping.

Findings

Discrete spectrum of scalar fields in AdS spacetime

Supports bulk/boundary correspondence in holography

Provides a quantization framework in Poincaré coordinates

Abstract

The quantization of a scalar field in anti de Sitter spacetime using Poincar\'e coordinates is considered. We find a discrete spectrum that is consistent with a possible mapping between bulk and boundary quantum states.