A Ponzano-Regge model of Lorentzian 3-dimensional gravity

2000/06/01 by Laurent Freidel · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1016/s0920-5632(00)00775-1

published as Nucl.Phys.Proc.Suppl. 88 (2000) 237-240 · 7 pages, Talk presented at Villasimius 1999, constraint dynamics and quantum gravity conference

openalex publication_date 2000/06/01 · arxiv created 2001/02/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present the construction of the partition function of 3-dimensional gravity in the Lorentzian regime as a state sum model over a triangulation. This generalize the work of Ponzano and Regge to the case of Lorentzian signature.

Citations

• 2 + 1 dimensional gravity as an exactly soluble system

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