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The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
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 space-time with a cylindrical boundary is equivalent to the non-chiral
WZW model; and (ii) the anti-de Sitter boundary conditions implement
the constraints that reduce the WZW model to the Liouville theory.Comment: 10 pages in LaTeX, LaTeX problem fixe