Quantum Fields in anti-de Sitter space and the Maldacena conjecture

TL;DR

This paper reviews the connection between the AdS/CFT correspondence and the holographic principle, illustrating how anti-de Sitter space's curvature enables a boundary-bulk mapping crucial for quantum gravity theories.

Contribution

It clarifies the relationship between the Maldacena Conjecture and holography, emphasizing the role of AdS space in reducing degrees of freedom for quantum gravity.

Findings

Holography reduces degrees of freedom in AdS space

Mapping between bulk quantum theory and boundary theory

Supports the holographic principle in quantum gravity

Abstract

We review in this lecture the relation between the Maldacena Conjecture, also known as AdS/CFT correspondence, and the so called Holographic principle that seems to be an essential ingredient for a quantum gravity theory. We also illustrate the idea of Holography by showing that the curvature of the anti-de Sitter space reduces the number of degrees of freedom making it possible to find a mapping between a quantum theory defined on the bulk and another defined on the corresponding boundary.