The BTZ black hole spectrum and partition function

preprint2022arXivOpen access

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 AdS3AdS_3 by rewriting the partition function of the latter CFT.

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