Holography of Information in AdS/CFT

TL;DR

This paper explores how the holography of information principle, which states that all information in a quantum gravity theory is also accessible at the boundary, is realized within the AdS/CFT correspondence, specifically in bilocal holography.

Contribution

The paper demonstrates that the holography of information principle holds in bilocal holography within the AdS/CFT framework, translating a quantum gravity concept into the dual conformal field theory.

Findings

Holography of information is valid in bilocal holography.

The principle is reflected in the boundary CFT description.

Redundancy of information exists at low energy in the dual theory.

Abstract

The principle of the holography of information states that in a theory of quantum gravity a copy of all the information available on a Cauchy slice is also available near the boundary of the Cauchy slice. This redundancy in the theory is already present at low energy. In the context of the AdS/CFT correspondence, this principle can be translated into a statement about the dual conformal field theory. We carry out this translation and demonstrate that the principle of the holography of information holds in bilocal holography.