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

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

1995-06-08

arxiv.org/abs/gr-qc/9506019v2

Class.Quant.Grav. 12 (1995) 2961-2966

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages in LaTeX, LaTeX problem fixed

Scientific paper

10.1088/0264-9381/12/12/012

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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