THE ASYMPTOTIC DYNAMICS OF 3-DIMENSIONAL EINSTEIN GRAVITY WITH A NEGATIVE COSMOLOGICAL CONSTANT

Authors
COUSSAERT O HENNEAUX M VANDRIEL P
Citation
O. Coussaert et al., THE ASYMPTOTIC DYNAMICS OF 3-DIMENSIONAL EINSTEIN GRAVITY WITH A NEGATIVE COSMOLOGICAL CONSTANT, Classical and quantum gravity, 12(12), 1995, pp. 2961-2966
Citations number
32
Categorie Soggetti
Physics
Journal title
Classical and quantum gravity → ACNP
ISSN journal
02649381
Volume
12
Issue
12
Year of publication
1995
Pages
2961 - 2966
Database
ISI
SICI code
0264-9381(1995)12:12<2961:TADO3E>2.0.ZU;2-U
Abstract
Liouville theory is shown to describe the asymptotic dynamics of three -dimensional Einstein gravity with a negative cosmological constant. T his is because (i) Chern-Simons theory with a gauge group SL(2, R) x S L(2, R) on a spacetime with a cylindrical boundary is equivalent to th e non-chiral SL(2, R) WZW model; and (ii) the anti-de Sitter boundary conditions implement the constraints that reduce the WZW model to the Liouville theory.