Canonical analysis of cosmological topologically massive gravity at the chiral point

@article{Grumiller2008CanonicalAO,
  title={Canonical analysis of cosmological topologically massive gravity at the chiral point},
  author={Daniel Grumiller and Roman Jackiw and Niklas Johansson},
  journal={arXiv: High Energy Physics - Theory},
  year={2008}
}
Wolfgang Kummer was a pioneer of two-dimensional gravity and a strong advocate of the first order formulation in terms of Cartan variables. In the present work we apply Wolfgang Kummer's philosophy, the `Vienna School approach', to a specific three-dimensional model of gravity, cosmological topologically massive gravity at the chiral point. Exploiting a new Chern-Simons representation we perform a canonical analysis. The dimension of the physical phase space is two per point, and thus the… 
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References

SHOWING 1-10 OF 37 REFERENCES
Cosmological Topologically Massive Gravitons and Photons
We study topologically massive (2+1)-dimensional gravity with a negative cosmological constant. The masses of the linearized curvature excitations about AdS_3 backgrounds are not only shifted from
Constraint dynamics and gravitons in three dimensions
The complete non-linear three-dimensional Einstein gravity with gravitational Chern-Simons term and cosmological constant are studied in dreibein formulation. The constraints and their algebras are
Quasi-Normal Modes in Topologically Massive Gravity
We determine the black hole quasi-normal mode spectrum for tensor perturbations in topologically massive AdS-gravity. In the special case of chiral gravity quasi-normal modes are absent despite of
Quasi-normal modes in topologically massive gravity
We determine the black hole quasi-normal mode spectrum for tensor perturbations in topologically massive AdS-gravity. In the special case of chiral gravity quasi-normal modes are absent despite of
Brown-Henneaux's Canonical Approach to Topologically Massive Gravity
We analyze the symmetry realized asymptotically on the two dimensional boundary of AdS3 geometry in topologically massive gravity, which consists of the gravitational Chern-Simons term as well as the
Canonical formulations of full nonlinear topologically massive gravity
First-order forms of the complete nonlinear Einstein plus Chern-Simons third-derivative-order action are exhibited in both metric and dreibein forms. The “hamiltonians” are combinations of
Chiral gravity in three dimensions
Three dimensional Einstein gravity with negative cosmological constant ?1/?2 deformed by a gravitational Chern-Simons action with coefficient 1/? is studied in an asymptotically AdS3 spacetime. It is
Topologically Massive Gauge Theories
Gauge vector and gravity models are studied in three-dimensional space-time, where novel, gauge invariant, P and T odd terms of topological origin give rise to masses for the gauge fields. In the
Three-Dimensional Cosmological Gravity: Dynamics of Constant Curvature
In three space-time dimensions, Einstein's equations with cosmological constant Λ imply that the curvature is constant outside sources. When particles are present, they alter the global properties of
Dynamical symmetries in topological 3D gravity with torsion
SummaryRecently two of us generalized the topological massive gauge model of gravity of Deser, Jackiw, and Templeton (DJT) by liberating its translational gauge degrees of freedom. Consequently, the
...
1
2
3
4
...