Abstract
Starting from the Chern-Simons formulation, the two-dimensional dual theory for three-dimensional asymptotically flat Einstein gravity at null infinity is constructed. Solving the constraints together with suitable gauge fixing conditions gives in a first stage a chiral Wess-Zumino-Witten like model based on the Poincaré algebra in three dimensions. The next stage involves a Hamiltonian reduction to a BMS3 invariant Liouville theory. These results are connected to those originally derived in the anti-de Sitter case by rephrasing the latter in a suitable gauge before taking their flat-space limit.
Original language | English |
---|---|
Article number | 16 |
Journal | Journal of High Energy Physics |
Volume | 2013 |
Issue number | 5 |
DOIs | |
State | Published - 2013 |
Externally published | Yes |
Keywords
- Chern-Simons Theories
- Classical Theories of Gravity
- Conformal and W Symmetry
- Gauge-gravity correspondence