# Entanglement entropy of two-dimensional Anti-de Sitter black holes

## TL;DR

This paper derives a formula for the entanglement entropy of two-dimensional AdS black holes using AdS/CFT, revealing the Bekenstein-Hawking entropy as the leading term and a universal logarithmic correction.

## Contribution

It provides a new explicit formula for the entanglement entropy of 2D AdS black holes, connecting it with conformal field theory results and the black hole's Bekenstein-Hawking entropy.

## Key findings

- Leading term reproduces Bekenstein-Hawking entropy
- Subleading term is a universal logarithmic correction
- Analytic continuation relates to entanglement entropy of negative mass black holes

## Abstract

Using the AdS/CFT correspondence we derive a formula for the entanglement entropy of the anti-de Sitter black hole in two spacetime dimensions. The leading term in the large black hole mass expansion of our formula reproduces exactly the Bekenstein-Hawking entropy S_{BH}, whereas the subleading term behaves as ln S_{BH}. This subleading term has the universal form typical for the entanglement entropy of physical systems described by effective conformal fields theories (e.g. one-dimensional statistical models at the critical point). The well-known form of the entanglement entropy for a two-dimensional conformal field theory is obtained as analytic continuation of our result and is related with the entanglement entropy of a black hole with negative mass.