Three-dimensional quantum geometry and black holes

  title={Three-dimensional quantum geometry and black holes},
  author={M'aximo Banados},
We review some aspects of three-dimensional quantum gravity with emphasis in the ‘CFT → Geometry’ map that follows from the BrownHenneaux 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… 
Three-Dimensional Black Holes and Liouville Field Theory.
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