TY - GEN

T1 - A 2D Field Theory Equivalent to 3D Gravity with No Cosmological Constant

AU - Barnich, Glenn

AU - Gomberoff, Andrés

AU - González, Hernán A.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84893500722&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-40157-2_11

DO - 10.1007/978-3-642-40157-2_11

M3 - Conference contribution

AN - SCOPUS:84893500722

SN - 9783642401565

T3 - Springer Proceedings in Mathematics and Statistics

SP - 135

EP - 138

BT - Progress in Mathematical Relativity, Gravitation and Cosmology - Proceedings of the Spanish Relativity Meeting ERE2012

PB - Springer New York LLC

Y2 - 3 September 2012 through 7 September 2012

ER -