Topological entanglement entropy of the BTZ black hole

TL;DR

This paper calculates the topological entanglement entropy of the BTZ black hole, revealing it shares the same topological order as fractional quantum Hall states, indicating long-range entanglement in BTZ black holes.

Contribution

It demonstrates that BTZ black holes possess the same topological order as fractional quantum Hall states through entanglement entropy analysis.

Findings

BTZ black holes have topological entanglement entropy similar to fractional quantum Hall states.

BTZ black holes exhibit the same topological order as fractional quantum Hall states.

BTZ black holes possess long-range entanglement.

Abstract

In this paper, we calculate the topological entanglement entropy of the BTZ black hole and find that it coincides with that for fractional quantum Hall state. So the BTZ black holes have the same topological order with the fractional quantum Hall state. This fact indicate that the BTZ black holes have long-range entanglement.