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} }
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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