A Note on Entanglement Entropy and Conformal Field Theory

TL;DR

This paper discusses how entanglement entropy near a 2D black hole horizon can be derived using conformal field theory, highlighting the localization of degrees of freedom in physical spacetime.

Contribution

It demonstrates a method to compute entanglement entropy for 2D black holes using conformal field theory, analogous to BTZ black hole entropy calculations.

Findings

Entanglement entropy can be derived via conformal field theory methods.

Degrees of freedom are localized in physical spacetime.

Method parallels BTZ black hole entropy computation.

Abstract

It is pointed out that the entanglement entropy of quantum fields near the horizon of a two-dimensional black hole can be derived by means of the conformal field theory. This can be done in a way analogous to the computation of the entropy of BTZ black holes. The important feature of the considered case is that the degrees of freedom of the conformal theory are states localized in the physical space-time.