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

Glenn Barnich, Andrés Gomberoff, Hernán A. González

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations


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.

Original languageEnglish
Title of host publicationProgress in Mathematical Relativity, Gravitation and Cosmology - Proceedings of the Spanish Relativity Meeting ERE2012
PublisherSpringer New York LLC
Number of pages4
ISBN (Print)9783642401565
StatePublished - 2014
Externally publishedYes
EventSpanish Relativity Meeting, ERE 2012 - Guimaraes, Portugal
Duration: 3 Sep 20127 Sep 2012

Publication series

NameSpringer Proceedings in Mathematics and Statistics
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017


ConferenceSpanish Relativity Meeting, ERE 2012


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