# Entanglement shadows in LLM geometries

## TL;DR

This paper presents a new example of an asymptotically AdS_5 x S^5 geometry with an entanglement shadow, demonstrating limitations of minimal surfaces in holographic entanglement entropy and challenging geometry reconstruction.

## Contribution

It introduces a specific supersymmetric LLM geometry exhibiting an entanglement shadow, highlighting how minimal surfaces may not probe entire spacetime in holography.

## Key findings

- Identifies a geometry with an entanglement shadow in AdS_5 x S^5.
- Shows minimal surfaces do not cover the entire spacetime.
- Discusses implications for holographic reconstruction from entanglement.

## Abstract

We find a new example of an asymptotically $AdS_5 \times S^5$ geometry which has an entanglement shadow: that is, a region of spacetime which no Ryu-Takayanagi minimal surface enters. Our example is a particular case of the supersymmetric LLM geometries. Our results illustrate how minimal surfaces, which holographically geometrize entanglement entropy, can fail to probe the whole of spacetime, posing a challenge for attempts to directly reconstruct holographic geometries from the entanglement entropies of the dual field theory. We also comment on the relation to previous investigations of minimal surfaces localised in the $S^5$ factor of AdS$_5 \times S^5$.