Implications of bulk causality for holography in AdS

TL;DR

This paper explores how bulk causality constraints in AdS spaces impact holographic duality, showing that boundary observers cannot access certain information and deriving energy conditions for dual spacetimes.

Contribution

It establishes a link between bulk causality and boundary measurement limitations, introducing an energy constraint for holographic duals.

Findings

Bulk causality restricts boundary information extraction.

Boundary measurements cannot access precursors.

Derived an energy condition for holographic spacetimes.

Abstract

Gravitational time delay in asymptotically Anti de Sitter spaces has consequences for holographic duality. We argue that the requirement of bulk causality implies that it is not possible for a collection of boundary observers, performing local measurements, to extract information from precursors. Using similar arguments, we derive an integrated weak energy constraint on spacetimes which can admit a holographic dual.