Asymptotic structure of topologically massive gravity in spacelike stretched AdS sector

Details Asymptotic structure of topologically massive gravity in spacelike stretched AdS sector Asymptotic structure of topologically massive gravity in spacelike stretched AdS sector

2009-07-06

arxiv.org/abs/0907.0950v2

JHEP 0909:006,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LATEX, 19 pages; v2: minor errors corrected, one reference added

Scientific paper

10.1088/1126-6708/2009/09/006

We introduce a natural set of asymptotic conditions in the spacelike stretched AdS sector of topologically massive gravity. The Poisson bracket algebra of the canonical generators is shown to have the form of the semi-direct sum of a $u(1)$ Kac-Moody and a Virasoro algebra, with central charges. Using the Sugawara construction, we prove that the asymptotic symmetry coincides with the conformal symmetry, described by two independent Virasoro algebras with central charges. The result is in complete agreement with the hypothesis made in [6].

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