Superrotation charge and supertranslation hair on black holes

Hawking, S. W.; Perry, Malcolm J.; Strominger, Andrew

doi:10.1007/jhep05(2017)161

Cited by 309 publications

(531 citation statements)

References 163 publications

(277 reference statements)

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“…The infinite-dimensional AS then describe the soft field dressing of a hard process, and are sensitive to the passage of charge/energy-momentum as a function of angle, through "memory" effects [21][22][23][24][25][26][27][28][29][30]. This generalization of the usual overall charge/energy-momentum conservation laws has led to the suggestion that AS charges can act as a new subtle form of "hair" that can characterize black holes (or other complex states), giving a finer understanding of black hole entropy and information puzzles [31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

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: Introductionmentioning

confidence: 99%

Asymptotic symmetries, holography and topological hair

Mishra¹,

Sundrum²

2018

J. High Energ. Phys.

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“…[13][14][15][16][17][18][19][20][21][22][23][24]). In particular, a potential new form of classical hair for a black hole has been proposed [25,26]. The idea is simply the following.…”

Section: Classical Bms-hairmentioning

confidence: 99%

“…However, without knowledge of the microscopic dynamics of the black hole, they have no predictive power. We also point out 5 In [25] and [26] it is suggested to constraint the potential values of T + i using an infinite set of conserved charges. Imposing these conservation laws makes the corresponding S-matrix completely insensitive to the internal structure of the black hole and consequently, in the language we are using here, can only capture unobservable zero-modes.…”

Section: Summary and Outlinementioning

confidence: 99%

“…Therefore, an outside observer cannot distinguish the two following cases when he is given a supertranslated outside metric. First, it could be the result of the transformation (26), where the planet was physically changed due to a Goldstone supertranslation. Secondly, however, one can also obtain the supertranslated metric by acting on the initial planet with a global diffeomorphism.…”

Section: Hidden Angular Featuresmentioning

confidence: 99%

“…For that purpose, we first note that this perturbation only depends on the local geometry, except for ξ μ v and s − (r ), which also depend on spacetime points at bigger radii. Thus, outside the planet, we have the same solution as in [26], except for the fact the we perform our supertranslation slowly:…”

Section: Explicit Solution For Goldstone Supertranslation Of a Planetmentioning

confidence: 99%

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Black hole evaporation, quantum hair and supertranslations

Gómez

Zell

2018

Eur. Phys. J. C

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In a black hole, hair and quantum information retrieval are interrelated phenomena. The existence of any new form of hair necessarily implies the existence of features in the quantum-mechanically evaporated radiation. Therefore, classical supertranslation hair can be only distinguished from global diffeomorphisms if we have access to the interior of the black hole. Indirect information on the interior can only be obtained from the features of the quantum evaporation. We demonstrate that supertranslations (T − , T + ) ∈ B M S − ⊗ B M S + can be used as bookkeepers of the probability distributions of the emitted quanta where the first element describes the classical injection of energy and the second one is associated to quantum-mechanical emission. However, the connection between T − and T + is determined by the interior quantum dynamics of the black hole. We argue that restricting to the diagonal subgroup is only possible for decoupled modes, which do not bring any non-trivial information about the black hole interior and therefore do not constitute physical hair. It is shown that this is also true for gravitational systems without horizon, for which both injection and emission can be described classically. Moreover, we discuss and clarify the role of infrared physics in purification.

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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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Superrotation charge and supertranslation hair on black holes

Cited by 309 publications

References 163 publications

Asymptotic symmetries, holography and topological hair

Asymptotic symmetries, holography and topological hair

Black hole evaporation, quantum hair and supertranslations

Supertranslations and Holography near the Horizon of Schwarzschild Black Holes

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