The Asymptotic Dynamics of two-dimensional (anti-)de Sitter Gravity
High Energy Physics - Theory
2009-11-07 v3 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.hep-th/0202073,
title = {The Asymptotic Dynamics of two-dimensional (anti-)de Sitter Gravity},
author = {Mauro Brigante and Sergio Cacciatori and Dietmar Klemm and Daniela Zanon},
journal= {arXiv preprint arXiv:hep-th/0202073},
year = {2009}
}
Comments
16 pages, LaTeX, no figures, uses JHEP.cls. v2: Some references and comments added. v3: Minor errors corrected