Symmetries of Asymptotically Flat Four-Dimensional Spacetimes at Null Infinity Revisited

Barnich, Glenn; Troessaert, Cédric

doi:10.1103/physrevlett.105.111103

Cited by 462 publications

(717 citation statements)

References 20 publications

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“…Ref. [36] showed that these features were captured by an emergent 3D CS description of the soft fields, "living" at ∂Mink 4 GR 4 is added, we can think of these phenomena as emerging from within the dual CFT 3 with U(1) global symmetry, even though the gravity will play no explicit role in our analysis.) While AdS global 4 has a discrete spectrum, AdS Poincare 4 has a continuous spectrum and a natural generalization of "soft" limit.…”

Section: Jhep01(2018)014mentioning

confidence: 99%

“…It remains to find the 3D representation of all the soft limiting fields underlying the full XBMS 4 AS. Doing so would be the analog of finding CGR 3 = SO(3,2) CS for AdS 4 .…”

Section: Minkmentioning

confidence: 99%

“…The fact that the super-rotation subalgebra of Mink 4 AS has a Virasoro × Virasoro form (Vir × Vir), while gauge theory gives rise to Kac-Moody (KM) subalgebras, is highly reminiscent of Euclidean two-dimensional conformal field theories (ECFT 2 ) [4]. Indeed such a ECFT 2 -like structure living on the celestial sphere was discovered [35,36], AS charges arising as Laurent expansion coefficients of a 2D holomorphic stress tensor and other currents.…”

Section: Introductionmentioning

confidence: 99%

“…Famously, 4D Minkowksi spacetime (Mink 4 ) has an infinite-dimensional spacetime AS algebra (see [1] for a recent review). This was originally identified as the BMS algebra of super-translations [2,3], but has been extended more recently to include super-rotations as a subalgebra [4]. We refer to this extended algebra in 4D as XBMS 4 .…”

Section: Introductionmentioning

confidence: 99%

“…This was originally identified as the BMS algebra of super-translations [2,3], but has been extended more recently to include super-rotations as a subalgebra [4]. We refer to this extended algebra in 4D as XBMS 4 . The ongoing challenge since discovery of these symmetries has been to understand their physical significance and utility.…”

Section: Introductionmentioning

confidence: 99%

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Asymptotic symmetries, holography and topological hair

Mishra¹,

Sundrum²

2018

J. High Energ. Phys.

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Asymptotic symmetries of AdS 4 quantum gravity and gauge theory are derived by coupling the holographically dual CFT 3 to Chern-Simons gauge theory and 3D gravity in a "probe" (large-level) limit. Despite the fact that the three-dimensional AdS 4 boundary as a whole is consistent with only finite-dimensional asymptotic symmetries, given by AdS isometries, infinite-dimensional symmetries are shown to arise in circumstances where one is restricted to boundary subspaces with effectively two-dimensional geometry. A canonical example of such a restriction occurs within the 4D subregion described by a Wheeler-DeWitt wavefunctional of AdS 4 quantum gravity. An AdS 4 analog of Minkowski "super-rotation" asymptotic symmetry is probed by 3D Einstein gravity, yielding CFT 2 structure (in a large central charge limit), via AdS 3 foliation of AdS 4 and the AdS 3 /CFT 2 correspondence. The maximal asymptotic symmetry is however probed by 3D conformal gravity. Both 3D gravities have Chern-Simons formulation, manifesting their topological character. Chern-Simons structure is also shown to be emergent in the Poincare patch of AdS 4 , as soft/boundary limits of 4D gauge theory, rather than "put in by hand" as an external probe. This results in a finite effective Chern-Simons level. Several of the considerations of asymptotic symmetry structure are found to be simpler for AdS 4 than for Mink 4 , such as non-zero 4D particle masses, 4D non-perturbative "hard" effects, and consistency with unitarity. The last of these in particular is greatly simplified because in some setups the time dimension is explicitly shared by each level of description: Lorentzian AdS 4 , CFT 3 and CFT 2 . Relatedly, the CFT 2 structure clarifies the sense in which the infinite asymptotic charges constitute a useful form of "hair" for black holes and other complex 4D states. An AdS 4 analog of Minkowski "memory" effects is derived, but with late-time memory of earlier events being replaced by (holographic) "shadow" effects. Lessons from AdS 4 provide hints for better understanding Minkowski asymptotic symmetries, the 3D structure of its soft limits, and Minkowski holography.

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Section: Jhep01(2018)014mentioning

confidence: 99%

“…It remains to find the 3D representation of all the soft limiting fields underlying the full XBMS 4 AS. Doing so would be the analog of finding CGR 3 = SO(3,2) CS for AdS 4 .…”

Section: Minkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Asymptotic symmetries, holography and topological hair

Mishra¹,

Sundrum²

2018

J. High Energ. Phys.

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Supertranslations and Holography near the Horizon of Schwarzschild Black Holes

Lüst

2018

Fortschritte der Physik

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In this paper we review and discuss several aspects of supertranslations and their associated algebras at the horizon of a Schwarzschild black hole. We will compare two different approaches on horizon supertranslations, which were recently considered in separate publications. Furthermore we describe a possible holographic description of a Schwarzschild black hole in terms of a large N boundary theory, which accommodates the Goldstone bosons of the horizon supertranslations. 1 Other related work about supertranslations on horizons can be found in [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29].

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Asymptotically Flat Spacetimes

Compère

2019

Advanced Lectures on General Relativity

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Symmetries of Asymptotically Flat Four-Dimensional Spacetimes at Null Infinity Revisited

Cited by 462 publications

References 20 publications

Asymptotic symmetries, holography and topological hair

Asymptotic symmetries, holography and topological hair

Supertranslations and Holography near the Horizon of Schwarzschild Black Holes

Asymptotically Flat Spacetimes

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