nLab 3d gravity and Chern-Simons theory -- references

3d Gravity and Chern-Simons theory

3d Gravity and Chern-Simons theory

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):

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. B311 (1988) 46. (web)

  • Herman Verlinde, Conformal field theory, two-dimensional quantum gravity and quantization of Teichmüller space, Nuclear Physics B

    Volume 337, Issue 3, 25 June 1990, Pages 652-680 (doi:10.1016/0550-3213(90)90510-K)


Further developments:

See also:

Last revised on July 10, 2023 at 09:39:42. See the history of this page for a list of all contributions to it.