BMS charge algebra

By G. Barnich, Cédric Troessaert. 2011

479 citations recorded by the source corpus.

A bstractThe surface charges associated with the symmetries of asymptotically flat four dimensional spacetimes at null infinity are constructed. They realize the symmetry algebra in general only up to a field-dependent central extension that satisfies a suitably generalized cocycle condition. This extension vanishes when using the globally well defined BMS algebra. For the Kerr black hole and the enlarged BMS algebra with both supertranslations and superrotations, some of the supertranslation charges diverge whereas there are no divergences for the superrotation charges. The central extension is proportional to the rotation parameter and involves divergent integrals on the sphere.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e3567fdd520c180b8e6b60bff469f293740fdd68

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Celestial Holography (2021, background): “However, it was not until rather recently that studies considered boundary conditions that were sufficiently relaxed to permit local enhancements of the Lorentz subgroup, called superrotations [28, 29].”
Extended symmetries at the black hole horizon (2016, methodology): “27), we follow [31] and split the expression of the variation of the charge associated to a given Killing vector ξ between its integrable part, denoted by δQξ [Φ], and its non-integrable part, denoted by Θξ[Φ, δΦ], where Φ denotes the collection of all fields ∂vΩ, Ω and θA.”
Symmetries and charges of general relativity at null boundaries (2018, background): “where the anomalous term K loc ξ,ξ̃ (φ) will in general depend on the background solution φ [81], in contrast to the situation (8.”
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.”
New gravitational memories (2015, background): “ zz¯dzdz¯+ 2 mB r dv2 + −rCzzdz2 +DzCzzdvdz + 1 r ( 4 3 Nz + 1 4 ∂z(CzzC zz))dvdz + c.c. + ... (2.6) 2 Our deﬁnition of N z, which is proportional to the Weyl tensor (see below) is related to N BT of [21] by 4N z= 4NBT +C zzD zCzz + 3 4 ∂ z(C zzC zz). 3 where here the metric perturbations are functi”
Flat holography: aspects of the dual field theory (2016, background): “In [58], the same set of authors concluded that the Virasoro central terms were (2)This section was worked out in collaboration with Anandita De (3)Here it is of interest to mention that the BMS4 group has also been recently extended differently to include all smooth vector fields on S(2) instead of”
2D Kac-Moody symmetry of 4D Yang-Mills theory (2015, background): “A salient feature (1)The results of [5,9,14,36,37] suggest that for quantum gravity scattering amplitudes the SL(2,C) Lorentz symmetry (1.”
Conserved charges of the extended Bondi-Metzner-Sachs algebra (2015, methodology): “Barnich and Troessaert followed this approach in Ref.”
4D scattering amplitudes and asymptotic symmetries from 2D CFT (2016, methodology): “We then utilize the extended BMS algebra [71] to derive the CFT2 Ward identity associated with “super-translations” [25, 26], and we confirm that they correspond to the leading Weinberg soft theorem for gravitons [28, 29].”
Asymptotic symmetries and electromagnetic memory (2015, background): “In the early 2000’s, it was suggested [3] that the globally defined BMS supertranslations could be accompanied by locally defined superrotations, extending the standard homogenous Lorentz group [4].”
Superboost transitions, refraction memory and super-Lorentz charge algebra (2018, methodology): “piece. Hence the nal result for the innitesimal surface charges reads as {H ˘{H pfinq ˘ : (5.37) When q AB is the xed unit metric on the sphere, it reproduces the expression of BarnichTroessaert [21]. One can split H{ ˘ into integrable and non-integrable parts as H{ ˘ rg;gsHintrgs ˘rg;gs: (5.38) Her”