The status of diffeomorphism superselection in Euclidean 2+1 gravity

DOI10.1063/1.532118zbMath0887.58072arXivgr-qc/9701068OpenAlexW3104134622WikidataQ62398221 ScholiaQ62398221MaRDI QIDQ4370773

Thomas Thiemann, José Mourão, Donald Marolf

Publication date: 25 May 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9701068

zbMATH Keywords

2+1 Euclidean gravitydiffeomorphism superselection

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Applications of global analysis to the sciences (58Z05)

Cites Work

• \(2+1\)-dimensional gravity as an exactly soluble system
• Geometrodynamics vs. connection dynamics
• Rieffel induction as generalized quantum Marsden-Weinstein reduction
• Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity
• Reduction of the Einstein equations in 2+1 dimensions to a Hamiltonian system over Teichmüller space
• Representations of the holonomy algebras of gravity and nonAbelian gauge theories
• Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
• Projective techniques and functional integration for gauge theories