Non-relativistic entanglement entropy from Horava gravity

TL;DR

This paper introduces a new formula for calculating entanglement entropy in non-relativistic holographic dualities using Horava gravity, enabling insights into topological order in condensed matter systems.

Contribution

It develops an analogue of the Ryu-Takayanagi formula specifically for non-relativistic holography involving Horava gravity, expanding the toolkit for studying quantum entanglement.

Findings

Derived a holographic entanglement entropy formula for Horava gravity.

Applicable to non-relativistic dualities in condensed matter physics.

Provides a method to quantify topological order via entanglement entropy.

Abstract

We propose an analogue of the Ryu-Takayanagi formula for holographic entanglement entropy applicable to non-relativistic holographic dualities involving Horava gravity. This is a powerful tool for the duality to have, as topological order quantified by entanglement entropy is a robust notion in condensed matter systems. Our derivation makes use of examining on-shell gravitational actions on conical spacetimes.