Supertranslations call for superrotations

By G. Barnich, Cédric Troessaert. 2011

278 citations recorded by the source corpus.

We review recent results on symmetries of asymptotically flat spacetimes at null infinity. In higher dimensions, the symmetry algebra realizes the Poincar\'e algebra. In three and four dimensions, besides the infinitesimal supertranslations that have been known since the sixties, the algebras are evenly balanced because there are also infinitesimal superrotations. We provide the classification of central extensions of the bms3 and bms4 algebras. Applications and consequences as well as directions for future work are briefly indicated.

Subfields: Algebra and Number Theory, Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f7c77ced1439a8af331dc1021e2015ab1c112673

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Citations in the corpus

BMS charge algebra (2011, methodology): “t admit additional non trivial central extensions involving the supertranslation generators, i.e., there are no additional non trivial Lie algebra 2-cocycles with values in the real numbers (see e.g. [26]). This no-go result is circumvented here because of the presence of the ﬁeld CAB. The charges h”
Notes on the BMS group in three dimensions: I. Induced representations (2014, background): “[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.”
Flat holography: aspects of the dual field theory (2016, background): “In [57], the authors concluded that the only non-trivial central terms that the algebra could have are the Virasoro central extensions to the Witt algebra of the first line.”
BMS/GCA redux: towards flatspace holography from non-relativistic symmetries (2012, unknown): “57 95 v2 [ he p- Contents”
Bridging Carrollian and celestial holography (2022, background): “This corresponds to the (extended) BMS algebra [13, 162, 163].”
Conformally soft theorem in gauge theory (2019, background): “Celestial amplitudes are of interest for many reasons, including a holographic representation of quantum gravity in flat space [1, 2, 4, 17–23].”
Soft sub-leading divergences in Yang-Mills amplitudes (2014, background): “The BMS group can be extended by considering transformations that act singularly on the sphere at infinity [4, 5] These new transformations, called superrotations, act on the S-matrix.”
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 celestial CFT (2020, methodology): “The first proposed extension of the BMS group in the literature [8,10–12] considered superrotations which are local conformal Killing vectors that enhance the Lorentz group to two copies of the Virasoro 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 [89].”