Dual dynamics of three dimensional asymptotically flat Einstein gravity at null infinity

Glenn Barnich, Hernán A. González

Research output: Contribution to journalArticlepeer-review

62 Scopus citations

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 languageEnglish
Article number16
JournalJournal of High Energy Physics
Volume2013
Issue number5
DOIs
StatePublished - 2013
Externally publishedYes

Keywords

  • Chern-Simons Theories
  • Classical Theories of Gravity
  • Conformal and W Symmetry
  • Gauge-gravity correspondence

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