Aspects of the BMS/CFT correspondence

By G. Barnich, Cédric Troessaert. 2010

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After a review of symmetries and classical solutions involved in the AdS3/CFT2 correspondence, we apply a similar analysis to asymptotically flat spacetimes at null infinity in 3 and 4 dimensions. In the spirit of two dimensional conformal field theory, the symmetry algebra of asymptotically flat spacetimes at null infinity in 4 dimensions is taken to be the semi-direct sum of supertranslations with infinitesimal local conformal transformations and not, as usually done, with the Lorentz algebra. As a first application, we derive how the symmetry algebra is realized on solution space. In particular, we work out the behavior of Bondi’s news tensor, mass and angular momentum aspects under local conformal transformations.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/50c637709b8864f454a29da6514c47f5e3b3afdb

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Citations in the corpus

New symmetries for the gravitational S-matrix (2015, background): “The relevant Christoffel symbols are (see [14]):”
Notes on the BMS group in three dimensions: I. Induced representations (2014, methodology): “[22,30–35]), the purpose of the present paper is to initiate the study of the representations of the BMS3 group and to show that, like in the conformal case, they are controlled by powerful, well-established results on the Virasoro group, which are readily available in the literature.”
Extended symmetries at the black hole horizon (2016, background): “By introducing a modified version of Lie brackets [28] [χ1, χ2] = Lχ1χ2 − δχ1χ2 + δχ2χ1, (21) which suffices to take into account the dependence of the asymptotic Killing vectors upon the functions in the metric, one finds that the algebra of these vectors closes; namely [χ(f1, Y A 1 ), χ(f2, Y A 2 ”
Celestial amplitudes and conformal soft theorems (2019, neutral): “rms in parentheses act on I by the operator Jµν = ζ[µ qν] +Ψµ Ψν +Ψ˜µ Ψ˜ν , (4.9) which is a sum of orbital and intrinsic angular momentum operators [38]. Therefore, U∆=0 grav acts as a superrotation [53, 54] by ǫ·ζ k·ζ ǫ µkν on I. 4.3 The∆ → 0 limit for subleading soft gluons The gluon vertex opera”
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].”
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].”
Soft Hair on Black Holes. (2016, background): “However there are other soft symmetries such as superrotations [48, 49, 50, 11, 12] which lead to thicker kinds of hair as discussed in [10].”
Flat holography: aspects of the dual field theory (2016, methodology): “In [6], it was proposed that like in 2d CFTs, if the restriction of being globally well defined is relaxed, the Ln generators too could become infinite dimensional and the first line of the BMS algebra would then become two copies of the Witt algebra.”
Lectures on celestial amplitudes (2021, background): “On the asymptotic symmetry side, there had been various proposals to extend the Lorentz subgroup to include superrotations [14,94].”
Gauging the Carroll algebra and ultra-relativistic gravity (2015, background): “It has been known for a long time that the asymptotic symmetry algebra of asymptotically flat space-times is given by the Bondi-Metzner-Sachs (BMS) algebra [50–52] (see also [53, 54]).”
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+”
BMS charge algebra (2011, methodology): “We have recently shown [3, 4] that on the level of the algebra, one can consistently allow for infinitesimal superrotations as well and have worked out the tr ansformation laws of the functions parametrizing solution space.”
BMS/GCA redux: towards flatspace holography from non-relativistic symmetries (2012, neutral): “57 95 v2 [ he p- Contents”
Lectures on the Infrared Structure of Gravity and Gauge Theory (2017, methodology): “155 [203] G. Barnich and C. Troessaert, “BMS charge algebra,” JHEP 12 (2011) 105, arXiv:1106.0213 [hep-th].”
Asymptotic symmetries and subleading soft graviton theorem (2014, background): “ Ward identities associated with supertranslation symmetries and Weinberg’s soft graviton theorem [13] was unravelled. The second reason is an extremely interesting proposal by Barnich and Troessaert [14, 15, 16] that this symmetry can be naturally extended to include the Virasoro group, which in tu”