BTZ Black Hole Entropy and the Turaev–Viro Model

Abstract

We show the explicit agreement between the derivation of the Bekenstein–Hawking entropy of a Euclidean BTZ black hole from the point of view of spin foam models and canonical quantization. This is done by considering a graph observable (corresponding to the black hole horizon) in the Turaev–Viro state sum model, and then analytically continuing the resulting partition function to negative values of the cosmological constant.