Holographic reconstruction and renormalization in asymptotically Ricci-flat spacetimes

Costa, Renato Nunes

doi:10.1007/jhep11(2012)046

Cited by 8 publications

(4 citation statements)

References 48 publications

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“…This picture is coherent with the original approach of de Boer and Solodukhin based on the slicing of the interior and exterior of Minkowski spacetime in terms of Euclidean AdS and dS hypersurfaces [29,41]. This would justify why h AB in four-dimensional asymptotically flat spacetimes does not (necessarily) contain the leading logarithmic term: there are no logarithmic terms in three-dimensional AlAdS [94].…”

Section: Jhep10(2021)158supporting

confidence: 77%

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General null asymptotics and superrotation-compatible configuration spaces in d ≥ 4

Capone

2021

J. High Energ. Phys.

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We address the problem of consistent Campiglia-Laddha superrotations in d > 4 by solving Bondi-Sachs gauge vacuum Einstein equations at the non-linear level with the most general boundary conditions preserving the null nature of infinity. We discuss how to generalise the boundary structure to make the configuration space compatible with supertanslation-like and superrotation-like transformations. One possibility requires the time-independent boundary metric on the cuts of "Image missing" to be non-Einstein, while the other sticks to Einstein but time-dependent metrics. Both are novel features with respect to the four dimensional case, where time-dependence of the two-dimensional cross-sectional metric is not required and the Einstein condition is trivially satisfied. Other cases are also discussed. These conditions imply that the configuration spaces are not asymptotically flat in the standard sense. We discuss the implications on the construction of the phase space and the relationship with soft scattering theorems. We show that in even spacetime dimensions, the initial data compatible with such asymptotic symmetries produce maximally polyhomogeneous expansions of the metric and we advance a potential interpretation of this structure in terms of AdS/CFT and realizations of Ricci-flat holography.

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Section: Jhep10(2021)158supporting

confidence: 77%

“…We are thus led to approach the problem from more general points of view. A possible path to follow is considering more broadly the problem of Ricci flat holography [29] and its relations to holography in asymptotically locally AdS spacetimes [35][36][37][38][39][40][41][42].…”

Section: Jhep10(2021)158mentioning

confidence: 99%

General null asymptotics and superrotation-compatible configuration spaces in d ≥ 4

Capone

2021

J. High Energ. Phys.

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“…The main problem of this idea is the reconstruction of the evolution of bulk fields along two extra dimensions from the boundary field theory data. This problem has been studied in papers [18]- [20] and some evidence has been provided which supports the conjecture that fields on a specific class of asymptotically Ricci-flat spacetimes can be reconstructed out of conformal field theory data on a codimension two conformal manifold representing the boundary of a null surface in the bulk. However, the idea of defining conformal boundary by using anisotropic scaling can prevent emergence of such problems.…”

Section: Introductionmentioning

confidence: 85%

Flat-space holography and stress tensor of Kerr black hole

2016

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We propose a stress tensor for the Kerr black hole written in the Boyer-Lindquist coordinate. To achieve this, we use the dictionary of the Flat/CCFT correspondence and take the flat-space limit from the quasi-local stress tensor of the four-dimensional Kerr-AdS black hole. The proposed stress tensor yields the correct values for the mass and angular momentum of the Kerr black hole at spatial infinity. We also calculate some components of the energy momentum tensor of the three dimensional CCFT and show that they are consistent with the holographic calculation of the Kerr black hole. The calculation we present in this paper is another confirmation for the Flat/CCFT proposal.

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“…2.1, we set the stage by defining a convenient set of coordinates for 4D Minkowski spacetime (Mink 4 ). These coordinates are formally anchored to a fixed origin [17,18,[49][50][51] intuitively representing the location of a hard scattering process. In turn, this choice naturally divides Mink 4 into two regions: the 4D Milne spacetimes (Milne 4 ) past and future time-like separated from the origin, and the 4D spherical Rindler spacetime (Rind 4 ) space-like separated from the origin.…”

Section: Introductionmentioning

confidence: 99%

4D scattering amplitudes and asymptotic symmetries from 2D CFT

Cheung

Fuente

Sundrum

2017

J. High Energ. Phys.

220

377

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Abstract:We reformulate the scattering amplitudes of 4D flat space gauge theory and gravity in the language of a 2D CFT on the celestial sphere. The resulting CFT structure exhibits an OPE constructed from 4D collinear singularities, as well as infinite-dimensional Kac-Moody and Virasoro algebras encoding the asymptotic symmetries of 4D flat space. We derive these results by recasting 4D dynamics in terms of a convenient foliation of flat space into 3D Euclidean AdS and Lorentzian dS geometries. Tree-level scattering amplitudes take the form of Witten diagrams for a continuum of (A)dS modes, which are in turn equivalent to CFT correlators via the (A)dS/CFT dictionary. The Ward identities for the 2D conserved currents are dual to 4D soft theorems, while the bulk-boundary propagators of massless (A)dS modes are superpositions of the leading and subleading Weinberg soft factors of gauge theory and gravity. In general, the massless (A)dS modes are 3D Chern-Simons gauge fields describing the soft, single helicity sectors of 4D gauge theory and gravity. Consistent with the topological nature of Chern-Simons theory, AharonovBohm effects record the "tracks" of hard particles in the soft radiation, leading to a simple characterization of gauge and gravitational memories. Soft particle exchanges between hard processes define the Kac-Moody level and Virasoro central charge, which are thereby related to the 4D gauge coupling and gravitational strength in units of an infrared cutoff. Finally, we discuss a toy model for black hole horizons via a restriction to the Rindler region.

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Holographic reconstruction and renormalization in asymptotically Ricci-flat spacetimes

Cited by 8 publications

References 48 publications

General null asymptotics and superrotation-compatible configuration spaces in d ≥ 4

General null asymptotics and superrotation-compatible configuration spaces in d ≥ 4

Flat-space holography and stress tensor of Kerr black hole

4D scattering amplitudes and asymptotic symmetries from 2D CFT

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