The Asymptotic Dynamics of de Sitter Gravity in three Dimensions

Details The Asymptotic Dynamics of de Sitter Gravity in three Dimensions The Asymptotic Dynamics of de Sitter Gravity in three Dimensions

2001-10-03

arxiv.org/abs/hep-th/0110031v2

Class.Quant.Grav. 19 (2002) 579-588

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX, no figures, v2: Minor changes, references added

Scientific paper

10.1088/0264-9381/19/3/312

We show that the asymptotic dynamics of three-dimensional gravity with positive cosmological constant is described by Euclidean Liouville theory. This provides an explicit example of a correspondence between de Sitter gravity and conformal field theories. In the case at hand, this correspondence is established by formulating Einstein gravity with positive cosmological constant in three dimensions as an SL(2,C) Chern-Simons theory. The de Sitter boundary conditions on the connection are divided into two parts. The first part reduces the CS action to a nonchiral SL(2,C) WZNW model, whereas the second provides the constraints for a further reduction to Liouville theory, which lives on the past boundary of dS_3.

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