Three-dimensional quantum geometry and black holes

Details Three-dimensional quantum geometry and black holes Three-dimensional quantum geometry and black holes

1999-01-28

arxiv.org/abs/hep-th/9901148v3

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, Latex, no figures. Invited talk at the Second Meeting "Trends in Theoretical Physics", held in Buenos Aires, Decembe

Scientific paper

10.1063/1.59661

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.

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