Schr\"odinger Spacetimes with Screen and Reduced Entanglement

TL;DR

This paper explores Schr"odinger-like spacetimes in string theory that feature a unique spacetime 'screen' and exhibit reduced entanglement entropy, highlighting novel properties distinct from black-hole horizons.

Contribution

It introduces a class of type II string vacua with Schr"odinger spacetime features, including a spacetime screen and reduced entanglement entropy, expanding understanding of holographic duals.

Findings

Presence of a spacetime 'screen' distinct from black-hole horizons.

Reduced entanglement entropy compared to Lifshitz-AdS backgrounds.

Requires finite chemical potential and negative charge density in the dual CFT.

Abstract

We study a particular class of type II string vacua which become Schr\"odinger like spacetime in the IR region but are conformally AdS in asymptotic UV region. These solutions are found to possess some unique properties such as the presence of a spacetime `screen'. This Schr\"odinger (spacetime) screen is however very different from a black-hole horizon. It requires the presence of finite chemical potential and a negative charge density in the Schr\"odinger CFT. We find that these vacua give rise to reduced entanglement entropy as compared to Lifshitz-AdS counterpart, perhaps due to the screening effects.