A State Sum Model for (2+1) Lorentzian Quantum Gravity

2001/10/26 by Stefan Davids, Davids, Stefan · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0110114

129 pages

arxiv created 2001/10/26 · openalex publication_date 2001/10/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A state sum model based on the group SU(1,1) is defined. Investigations of its geometry and asymptotics suggest it is a good candidate for modelling (2+1) Lorentzian quantum gravity.

Citations

• Irreducible Unitary Representations of the Lorentz Group

Cited by

• Spinfoam tunneling of quantum geometries in angle variables
• Aspects of quantum gravity

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