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The constraint algebra of topologically massive AdS gravity

S. Carlip

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Three-dimensional topologically massive AdS gravity has a complicated constraint algebra, making it difficult to count nonperturbative degrees of freedom. I show that a new choice of variables greatly simplifies this algebra, and confirm that the theory contains a single propagating mode for all values of the mass parameter and the cosmological constant. As an added benefit, I rederive the central charges and conformal weights of the boundary conformal field theory from an explicit analysis of the asymptotic algebra of constraints.

Keywords

Classical Theories of Gravity

Field Theories in Lower Dimensions

Chern-Simons Theories

Gauge Symmetry

 

E-print Number: 0807.4152

Cited: by |

Refers: to

PACS

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

11.25.Hf Conformal field theory, algebraic structures

95.30.Sf Relativity and gravitation

04.60.-m Quantum gravity

02.10.-v Logic, set theory, and algebra

Subjects

Mathematical physics

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 10 (October 2008)

Received 28 July 2008, accepted for publication 10 October 2008

Published 20 October 2008



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