# 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

- Physics
- 2008

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

- Physics
- 2008

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

- Physics
- 2008

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

- 2008

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

- Physics
- 2008

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

- Physics
- 1991

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

- Physics
- 2008

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

- Physics
- 1982

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

- Physics
- 1984

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

- Physics
- 1992

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…