Friday, March 15, 2013

1303.3568 (Glenn Barnich et al.)

A 2D field theory equivalent to 3D gravity with no cosmological constant    [PDF]

Glenn Barnich, Andrés Gomberoff, Hernán A. González
In (2+1) space-time dimensions the Einstein theory of gravity has no local degrees of freedom. In fact, in the presence of a negative cosmological term, it is described by a (1+1) dimensional theory living on its boundary: Liouville theory. It is invariant under the action of the two-dimensional conformal group, which, in the gravitational context, corresponds to the asymptotic symmetries of asymptotically AdS geometries. In the flat case, when the cosmological term is turned off, a theory describing gravity at the boundary is absent. In this note we show that, in the Hamiltonian setup, such a theory may be constructed. The theory is BMS3 invariant, as it should, corresponding to the asymptotic symmetry group of an asymptotically flat spacetime.
View original: http://arxiv.org/abs/1303.3568

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