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

By G. Barnich, G. Compère. 2006

397 citations recorded by the source corpus.

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.

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Citations in the corpus

Flat holography: aspects of the dual field theory (2016, background): “A canonical analysis finds them to be cL = 0 and cM = 3 G in Einstein gravity [29].”
Aspects of the BMS/CFT correspondence (2010, background): “Th is as been done in [9] in all dimensions greater than 3.”
Higher-Dimensional Supertranslations and Weinberg's Soft Graviton Theorem (2015, background): “Notable exceptions include [27, 28], where it was argued that supertranslations do exist in higher dimensions.”
Kerr/CFT Correspondence (2008, methodology): “An analysis with a number of similarities to the present one (with non-subleading deviations ) for the BMS group at I can be found in [29, 30].”
Supertranslations call for superrotations (2011, background): “The associated classical charge algebra of asymptotically flat three dimensional spacetimes has been constructed in [1] with central charges 1”
Tensionless strings from worldsheet symmetries (2015, background): “In 3D, the BMS3 algebra [63] is actually isomorphic to the 2d GCA [17].”
Advanced Lectures on General Relativity (2018, background): “As in the asymptotically AdS3 case, a set of boundary conditions can be formulated [35], and the most general solution of Einstein’s equations can be exactly derived [36].”
Warped Conformal Field Theory (2012, background): “Much effort has been dedicated to the study of flat (see [10, 11, 12, 13, 14, 15, 16, 17, 18] for example) and de Sitter (see e.”
BMS/GCA redux: towards flatspace holography from non-relativistic symmetries (2012, unknown): “57 95 v2 [ he p- Contents”
Three-dimensional Bondi-Metzner-Sachs invariant two-dimensional field theories as the flat limit of Liouville theory (2012, background): “The Dirac bracket algebra of surface charges for asymptotic ally flat three dimensional spacetimes at null infinity [9, 10], normalized with respect to he null orbifold which is defined to have zero mass 2, is the centrally extended bms3 algebra i{Pm, Pn} = 0, i{Jm, Jn} = (m − n)Jm+n + c1 12 m(3)δm+”
Asymptotically flat spacetimes in three-dimensional higher spin gravity (2013, background): “(i) Reducing to the ones of [19, 20] when the higher spin fields are switched off, and (ii) In presence of higher spin fields, they should correspond to the vanishing cosmological constant limit of the asymptotically AdS3 conditions of [14, 15, 23, 24].”