Induced gravity and entanglement entropy of 2D black holes

Understand

Using the fact that 2D Newton constant is wholly induced by a conformal field theory, 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).