Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions

Oct, 2006
8 pages
Published in:
  • Class.Quant.Grav. 24 (2007) F15-F23
e-Print:
Report number:
  • ULB-TH-06-08

Citations per year

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Abstract: (arXiv)
The symmetry algebra of asymptotically flat spacetimes at null infinity in three dimensions is the semi-direct sum of the infinitesimal diffeomorphisms on the circle with an abelian ideal of supertranslations. The associated charge algebra is shown to admit a non trivial classical central extension of Virasoro type closely related to that of the anti-de Sitter case.
  • 04.60.-m
  • 04.20.Ha
  • 11.30.-j
  • 11.10.Ef
  • vector: Killing
  • algebra: representation
  • algebra: Poisson
  • space-time
  • charge: surface
  • algebra: Virasoro