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arxiv: hep-th/9901148 · v3 · submitted 1999-01-28 · ✦ hep-th · gr-qc

Three-dimensional quantum geometry and black holes

Maximo Banados This is my paper
classification ✦ hep-th gr-qc
keywords boundaryclassicalgeometrygravityquantumsolutionsomespace
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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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