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

Mauro Brigante·Sergio Cacciatori·Dietmar Klemm·Daniela Zanon
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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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Mauro Brigante, Sergio Cacciatori, Dietmar Klemm, Daniela Zanon. 2002-03-06. The Asymptotic Dynamics of two-dimensional (anti-)de Sitter Gravity. https://doi.org/10.1088/1126-6708%2F2002%2F03%2F005

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