Canonical analysis of cosmological topologically massive gravity at the chiral point

Abstract

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 theory exhibits a local physical degree of freedom, the topologically massive graviton.

13 pages, contribution to Wolfgang Kummer Memorial Volume

References in corpus (3)

• Setting the boundary free in AdS/CFT
• Comment on "Cosmological Topological Massive Gravitons and Photons"
• Chiral geometries of (2+1)-d AdS gravity

Cited by in corpus (16)

• Topologically Massive Gravity and the AdS/CFT Correspondence
• Note on New Massive Gravity in $Ad{S}_3$
• Asymptotically anti-de Sitter spacetimes in topologically massive gravity
• On the Generalized Massive Gravity in $Ad{S}_3$
• Canonical structure of topologically massive gravity with a cosmological constant
• A Simple Proof of the Chiral Gravity Conjecture
• Erratum to `Instability in cosmological topologically massive gravity at the chiral point', arXiv:0805.2610
• Dual Gravitons in AdS4/CFT3 and the Holographic Cotton Tensor
• The Role of Angular Momentum and Cosmic Censorship in the (2+1)-Dimensional Rotating Shell Collapse
• Hawking radiation from covariant anomalies in 2+1 dimensional black holes
• Logarithmic conformal field theory approach to topologically massive gravity
• On Born-Infeld Gravity in Three Dimensions
• Symmetries of topological gravity with torsion in the hamiltonian and lagrangian formalisms
• Topologically massive gravity on AdS${}_2$ spacetimes
• Constraint structure of the three dimensional massive gravity
• Effects of curvature and gravity from flat spacetime