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

2002/02/28 by Mauro Brigante, Sergio L. Cacciatori, Sergio Cacciatori +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1088/1126-6708/2002/03/005

published as JHEP0203:005,2002 · 16 pages, LaTeX, no figures, uses JHEP.cls. v2: Some references and comments added. v3: Minor errors corrected

openalex publication_date 2002/03/04 · arxiv created 2002/03/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• 2D anti–de Sitter gravity as a conformally invariant mechanical system
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• NON-SINGULAR CONSTANT CURVATURE TWO-DIMENSIONAL BLACK HOLE
• 2 + 1 dimensional gravity as an exactly soluble system
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• The causal structure of two-dimensional spacetimes
• The dS/CFT Correspondence
• The World as a Hologram
• Dimensional Reduction in Quantum Gravity