The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant

@article{Coussaert1995TheAD,
  title={The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant},
  author={O. Coussaert and M. Henneaux and P. V. Driel},
  journal={Classical and Quantum Gravity},
  year={1995},
  volume={12},
  pages={2961-2966}
}
  • O. Coussaert, M. Henneaux, P. V. Driel
  • Published 1995
  • Physics
  • Classical and Quantum Gravity
  • Liouville theory is shown to describe the asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant. This is because (i) Chern - Simons theory with a gauge group on a spacetime with a cylindrical boundary is equivalent to the non-chiral SL(2,R) WZW model; and (ii) the anti-de Sitter boundary conditions implement the constraints that reduce the WZW model to the Liouville theory. 
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