On the relation between 2+1 Einstein gravity and Chern-Simons theory
From MaRDI portal
Publication:4701097
DOI10.1088/0264-9381/16/8/303zbMath0941.83034arXivgr-qc/9903040OpenAlexW2045246764MaRDI QIDQ4701097
Publication date: 21 November 1999
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/gr-qc/9903040
Quantum field theory; related classical field theories (81T99) Analogues of general relativity in lower dimensions (83C80)
Related Items
Loop quantization of a 3D abelian \textit{BF} model with \(\sigma\)-model matter ⋮ Three-dimensional loop quantum gravity: Particles and the quantum double ⋮ On a canonical quantization of 3D anti de Sitter pure gravity ⋮ Classical r -matrices for the generalised Chern–Simons formulation of 3d gravity ⋮ Translational invariance of the Einstein-Cartan action in any dimension ⋮ Grafting and Poisson structure in \((2+1)\)-gravity with vanishing cosmological constant ⋮ Darboux coordinates for the Hamiltonian of first order Einstein-Cartan gravity ⋮ Hamilton-Jacobi analysis for three dimensional gravity without dynamics ⋮ Faddeev-Jackiw quantization of four dimensional BF theory ⋮ Combinatorial quantisation of the Euclidean torus universe ⋮ Quasi-local holographic dualities in non-perturbative 3d quantum gravity. I: Convergence of multiple approaches and examples of Ponzano-Regge statistical duals ⋮ Quasi-local holographic dualities in non-perturbative 3d quantum gravity. II: From coherent quantum boundaries to \(BMS_{3}\) characters ⋮ The Hamiltonian formulation of tetrad gravity: three-dimensional case ⋮ Group theoretical quantization and the example of a phase space S1×R+ ⋮ Geometrical \((2+1)\)-gravity and the Chern-Simons formulation: grafting, Dehn twists, Wilson loop observables and the cosmological constant ⋮ Quantum isometry groups and Born reciprocity in 3d gravity ⋮ Analogue gravity ⋮ Three dimensional quantum geometry and deformed symmetry ⋮ PERTURBATIVE ANALYSIS OF THE TWO-BODY PROBLEM IN (2 + 1)-AdS GRAVITY ⋮ (2+1)-AdS GRAVITY ON RIEMANN SURFACES ⋮ MAPPING CLASS GROUP AND U(1) CHERN–SIMONS THEORY ON CLOSED ORIENTABLE SURFACES ⋮ QUANTIZATION OF REDUCED CHERN–SIMONS GRAVITY WITH A SOURCE ⋮ Statistical mechanics of \(2+1\) gravity from Riemann zeta function and Alexander polynomial: Exact results ⋮ 2+1 gravity, chaos and time machines ⋮ The Einstein-Vlasov system/kinetic theory ⋮ Quantum gravity in \(2+1\) dimensions: the case of a closed universe ⋮ Sectors of solutions in three-dimensional gravity and black holes ⋮ \(\operatorname{SL}(2, \mathbb{C})\) Chern-Simons theory, a non-planar graph operator, and 4D quantum gravity with a cosmological constant: semiclassical geometry ⋮ Inflation with Gauss-Bonnet and Chern-Simons higher-curvature-corrections in the view of GW170817 ⋮ Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial ⋮ TWO-DIMENSIONAL METRIC AND TETRAD GRAVITIES AS CONSTRAINED SECOND-ORDER SYSTEMS
