UV/IR Relations in AdS Dynamics

TL;DR

This paper examines different distance-energy relations in AdS/CFT, highlighting their differences in conformal and nonconformal backgrounds and exploring implications for holography and black hole entropy.

Contribution

It clarifies the distinction between two distance-energy relations in AdS/CFT and analyzes their implications in various backgrounds.

Findings

In conformal backgrounds, the relations differ only by normalization.

In nonconformal backgrounds, the relations differ in functional form.

The study connects these relations to probe processes, holography, and black hole entropy.

Abstract

We point out that two distinct distance--energy relations have been discussed in the AdS/CFT correspondence. In conformal backgrounds they differ only in normalization, but in nonconformal backgrounds they differ in functional form. We discuss the relation to probe processes, the holographic principle, and black hole entropies.