The Asymptotic Dynamics of two-dimensional (anti-)de Sitter Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, LaTeX, no figures, uses JHEP.cls. v2: Some references and comments added. v3: Minor errors corrected

Scientific paper

10.1088/1126-6708/2002/03/005

We show that the asymptotic dynamics of two-dimensional de Sitter or anti-de Sitter Jackiw-Teitelboim (JT) gravity is described by a generalized two-particle Calogero-Sutherland model. This correspondence is established by formulating the JT model of (A)dS gravity in two dimensions as a topological gauge theory, which reduces to a nonlinear 0+1-dimensional sigma model on the boundary of (A)dS space. The appearance of cyclic coordinates allows then a further reduction to the Calogero-Sutherland quantum mechanical model.

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