Holography in the Flat Space Limit

TL;DR

This paper explores the flat space limit of holographic theories like matrix theory and AdS/CFT, highlighting how the holographic mapping becomes nonlocal as N approaches infinity, affecting the nature of the degrees of freedom involved.

Contribution

It analyzes the behavior of holographic mappings in the large N limit, revealing the nonlocal nature and the growth of degrees of freedom in flat space string theory.

Findings

Holographic mapping becomes nonlocal as N increases

Growth of D0-brane bound states with N in matrix theory

Delocalization of holographic image in AdS/CFT with large N

Abstract

Matrix theory and the AdS/CFT correspondence provide nonperturbative holographic formulations of string theory. In both cases the finite N theories can be thought of as infrared regulated versions of flat space string theory in which removing the cutoff is equivalent to letting N go to infinity. In this paper we consider the nature of this limit. In both cases the holographic mapping becomes completely nonlocal. In matrix theory this corresponds to the growth of D0-brane bound states with N. For the AdS/CFT correspondence there is a similar delocalization of the holographic image of a system as N increases. In this case the limiting theory seems to require a number of degrees of freedom comparable to large N matrix quantum mechanics.