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Annales Henri Poincaré

, Volume 16, Issue 2, pp 609–640 | Cite as

BTZ Black Hole Entropy and the Turaev–Viro Model

  • Marc GeillerEmail author
  • Karim Noui
Article

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.

Keywords

Black Hole Partition Function Black Hole Entropy Loop Quantum Gravity Solid Torus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Physics Department, Institute for Gravitation and the Cosmos Penn StateUniversity ParkState CollegeUSA
  2. 2.Laboratoire de Mathématiques et Physique ThéoriqueUniversité François RabelaisToursFrance
  3. 3.Laboratoire Astroparticule et Cosmologie (APC)Université Paris Diderot Paris 7ParisFrance

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