Global properties of causal wedges in asymptotically AdS spacetimes

TL;DR

This paper explores the topological and geometric properties of causal wedges in asymptotically AdS spacetimes, revealing their influence on holographic entanglement entropy calculations.

Contribution

It provides new theoretical insights into the topology of causal wedges and their impact on extremal surfaces in holography.

Findings

Causal wedges often have non-trivial topology.

Constraints on causal holographic information are derived.

Properties of causal wedges affect extremal surface features.

Abstract

We examine general features of causal wedges in asymptotically AdS spacetimes and show that in a wide variety of cases they have non-trivial topology. We also prove some general results regarding minimal area surfaces on the causal wedge boundary and thereby derive constraints on the causal holographic information. We go on to demonstrate that certain properties of the causal wedge impact significantly on features of extremal surfaces which are relevant for computation of holographic entanglement entropy.