Partition functions of three-dimensional quantum gravity and the black hole entropy

2008/07/31 by A. A. Bytsenko, M. E. X. Guimaraes, M. E. X. Guimarães
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1088/1742-6596/161/1/012023

published as J.Phys.Conf.Ser.161:012023,2009 · 8 pages, no figures. Some misprints have been corrected, title changed. To appear in the J. Phys. A (2009)

arxiv created 2008/09/26 · openalex publication_date 2009/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We analyze aspects of the holographic principle relevant to the quantum gravity partition functions in Euclidean sector of AdS 3 . The sum of known contributions to the partition functions can be presented exactly (including corrections) in the form where the Patterson-Selberg zeta function involves.

Citations

• Spectral Functions for BTZ Black Hole Geometry
• AdS3partition functions reconstructed
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity