The BTZ black hole spectrum and partition function

Abstract

In this article, we revisit the spectrum of the Lorentzian BTZ black hole conformal field theory. Building on a detailed analysis of geodesics, we identify a complete set of states for the harmonic analysis. We then demonstrate that the CFT spectrum is, plausibly, that of $Ad{S}_3$ by rewriting the partition function of the latter CFT.

32 pages, one figure; this version: typos fixed, keywords added