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

O. Coussaert·M. Henneaux·P. van Driel
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Abstract

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 $SL(2,R) \times SL(2,R)$ on a space-time 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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O. Coussaert, M. Henneaux, P. van Driel. 1995-06-13. The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant. https://doi.org/10.1088/0264-9381%2F12%2F12%2F012

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