On 3-dimensional (quantum) gravity (general relativity) with cosmological constant, and its (non-)relation to Chern-Simons theory with non-compact gauge groups:
The original articles on 3d gravity, discussing its formulation as a Chern-Simons theory and discovering its holographic relation to a 2d CFT boundary field theory (well before AdS/CFT was conceived from string theory):
Stanley Deser, Roman Jackiw, Gerard 't Hooft, Three-dimensional Einstein gravity: Dynamics of flat space, Ann. Phys. 152 (1984) 220 (doi:10.1016/0003-4916(84)90085-X)
Stanley Deser, Roman Jackiw, Three-dimensional cosmological gravity: Dynamics of constant curvature, Annals of Physics, Volume 153, Issue 2, 1 April 1984, Pages 405-416 (doi:10.1016/0003-4916(84)90025-3, spire:192694)
Roman Jackiw, Lower dimensional gravity, Nuclear Physics B Volume 252, 1985, Pages 343-356 (doi:10.1016/0550-3213(85)90448-1, spire:204694)
J. D. Brown, Marc Henneaux, Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity, Commun. Math. Phys. (1986) 104: 207 (doi:10.1007/BF01211590)
A. Achucarro, Paul Townsend, A Chern-Simons Action for Three-Dimensional anti-De Sitter Supergravity Theories, Phys. Lett. B180 (1986) 89 (doi:10.1016/0370-2693(86)90140-1, spire:21208)
Steven Carlip, Inducing Liouville theory from topologically massive gravity, Nuclear Physics B Volume 362, Issues 1–2, 16 September 1991, Pages 111-124 (doi:10.1016/0550-3213(91)90558-F)
O. Coussaert, Marc Henneaux, P. van Driel, The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant, Class. Quant. Grav. 12 (1995) 2961-2966 (arXiv:gr-qc/9506019)
The corresponding non-perturbative quantization of 3-dimensional gravity, via quantization of 3d Chern-Simons theory:
Edward Witten, (2+1)-Dimensional Gravity as an Exactly Soluble System, Nucl. Phys. B 311 (1988) 46. [doi:10.1016/0550-3213(88)90143-5
Herman Verlinde, Conformal field theory, two-dimensional quantum gravity and quantization of Teichmüller space, Nuclear Physics B 337 3 (1990) 652-680 [doi:10.1016/0550-3213(90)90510-K]
Review:
Steven Carlip, Lectures in (2+1)-Dimensional Gravity, J. Korean Phys. Soc. 28: S447-S467, 1995 (arXiv:gr-qc/9503024)
Steven Carlip, Quantum Gravity in 2+1 Dimensions, Cambridge Monographs on Mathematical Physics (2003) (publisher)
Steven Carlip, Quantum Gravity in 2+1 Dimensions: The Case of a Closed Universe, Living Rev. Rel. 8:1, 2005 (arXiv:gr-qc/0409039)
Steven Carlip, My Research – (2+1)-Dimensional quantum gravity
Laura Donnay, Asymptotic dynamics of three-dimensional gravity, Proceedings of Eleventh Modave Summer School in Mathematical Physics, POS 271 (2016) arXiv:1602.09021, doi:10.22323/1.271.0001
Wout Merbis, Chern-Simons-like Theories of Gravity (arXiv:1411.6888)
Chen-Te Ma, Einstein Gravity and Boundary Description: Pedagogical Review arXiv:2310.04665
Further developments:
Edward Witten, Three-dimensional gravity revisited (2007) [arXiv:0706.3359]
Paul Townsend, Massive 3d (super)gravity, slides, (pdf)
Gaston Giribet, Black hole physics and AdS3/CFT2 correspondence, lectures at Croatian Black Hole School 2010
Alan Garbarz, Gaston Giribet, Yerko Vásquez, Asymptotically AdS solutions to topologically massive gravity at special values of the coupling constants, arxiv/0811.4464
Rudranil Basu, Samir K Paul, Consistent 3D Quantum Gravity on Lens Spaces (arXiv:1109.0793)
Marc Henneaux, Wout Merbis, Arash Ranjbar, Asymptotic dynamics of gravity with two asymptotic regions (arXiv:1912.09465)
Viraj Meruliya, Sunil Mukhi, Palash Singh, Poincaré Series, 3d Gravity and Averages of Rational CFT (arXiv:2102.03136)
Scott Collier, Lorenz Eberhardt, Mengyang Zhang, 3d gravity and Chern-Simons theory – references arXiv:2304.13650
See also:
Last revised on March 24, 2024 at 16:07:47. See the history of this page for a list of all contributions to it.