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The Asymptotic Dynamics of two-dimensional (anti-)de Sitter Gravity
Author(s) -
Mauro Brigante,
Sergio L. Cacciatori,
Dietmar Klemm,
D. Za
Publication year - 2002
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2002/03/005
Subject(s) - anti de sitter space , mathematical physics , sigma model , physics , de sitter space , de sitter universe , gauge (firearms) , quantum gravity , sigma , space (punctuation) , dynamics (music) , boundary (topology) , gauge theory , nonlinear system , quantum , mathematics , quantum mechanics , mathematical analysis , computer science , universe , archaeology , acoustics , history , operating system
We show that the asymptotic dynamics of two-dimensional de Sitter or anti-deSitter Jackiw-Teitelboim (JT) gravity is described by a generalizedtwo-particle Calogero-Sutherland model. This correspondence is established byformulating the JT model of (A)dS gravity in two dimensions as a topologicalgauge theory, which reduces to a nonlinear 0+1-dimensional sigma model on theboundary of (A)dS space. The appearance of cyclic coordinates allows then afurther reduction to the Calogero-Sutherland quantum mechanical model.Comment: 16 pages, LaTeX, no figures, uses JHEP.cls. v2: Some references and comments added. v3: Minor errors correcte

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