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The Asymptotic Dynamics of two-dimensional (anti-)de Sitter Gravity
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by
Mauro Brigante, Sergio Cacciatori, Dietmar Klemm, Daniela Zanon
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as a report
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2002
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.
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