%0 Journal Article %1 Banados1999Threedimensional %A Banados, Maximo %D 1999 %K 3dgravity, ads3-cft2, btz %P 147--169 %R 10.1063/1.59661 %T Three-dimensional quantum geometry and black holes %U http://dx.doi.org/10.1063/1.59661 %X We review some aspects of three-dimensional quantum gravity with emphasis in the `CFT -> Geometry' map that follows from the Brown-Henneaux conformal algebra. The general solution to the classical equations of motion with anti-de Sitter boundary conditions is displayed. This solution is parametrized by two functions which become Virasoro operators after quantisation. A map from the space of states to the space of classical solutions is exhibited. Some recent proposals to understand the Bekenstein-Hawking entropy are reviewed in this context. The origin of the boundary degrees of freedom arising in 2+1 gravity is analysed in detail using a Hamiltonian Chern-Simons formalism.

@article{Banados1999Threedimensional, abstract = {{We review some aspects of three-dimensional quantum gravity with emphasis in the `CFT -\> Geometry' map that follows from the Brown-Henneaux conformal algebra. The general solution to the classical equations of motion with anti-de Sitter boundary conditions is displayed. This solution is parametrized by two functions which become Virasoro operators after quantisation. A map from the space of states to the space of classical solutions is exhibited. Some recent proposals to understand the Bekenstein-Hawking entropy are reviewed in this context. The origin of the boundary degrees of freedom arising in 2+1 gravity is analysed in detail using a Hamiltonian Chern-Simons formalism.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Banados, Maximo}, biburl = {https://www.bibsonomy.org/bibtex/2c3c1f27bca5a9bc0d90f86caf0779748/acastro}, citeulike-article-id = {12527993}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/9901148}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/9901148}, citeulike-linkout-2 = {http://dx.doi.org/10.1063/1.59661}, day = 22, doi = {10.1063/1.59661}, eprint = {hep-th/9901148}, interhash = {ad2846fd474a29511b0858b51102ffa9}, intrahash = {c3c1f27bca5a9bc0d90f86caf0779748}, keywords = {3dgravity, ads3-cft2, btz}, location = {Buenos Aires,(Argentina)}, month = feb, pages = {147--169}, posted-at = {2013-07-25 20:59:33}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Three-dimensional quantum geometry and black holes}}, url = {http://dx.doi.org/10.1063/1.59661}, year = 1999 }