\(6j\)-symbols and discrete quantum gravity

DOI10.1016/S0920-5632(00)00760-XzbMath1273.83048MaRDI QIDQ373071

Ruth M. Williams

Publication date: 21 October 2013

Published in: Nuclear Physics. B. Proceedings Supplements (Search for Journal in Brave)

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Analogues of general relativity in lower dimensions (83C80) Applications of hypergeometric functions (33C90)

Cites Work

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• Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation
• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• Three-manifolds invariants and their relation with the fundamental group
• The classical evaluation of relativistic spin networks
• Skein theory and Turaev-Viro invariants
• Computing Turaev-Viro invariants for 3-manifolds
• A MODEL OF THREE-DIMENSIONAL LATTICE GRAVITY
• Discrete structures in gravity
• Relativistic spin networks and quantum gravity
• A Lorentzian signature model for quantum general relativity
• Lens spaces and handlebodies in three-dimensional quantum gravity
• A note on area variables in Regge calculus
• On relativistic spin network vertices
• Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space

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