BMS symmetry via AdS/CFT

Lowe, David A.; Ramirez, David M.

doi:10.1007/jhep01(2021)075

“…From these considerations, it seems to us that investigating holography in AdS with a dissipative system coupling to an environment would be a excellent starting point to apprehend flat holography in d > 2. More specifically, it would be interesting to understand how the recent advances in the celestial sphere CFT description [125][126][127][128][129][130][131][132][133][134][135][136][137][138][139] are related to the AdS results through a flat limit process.…”

Section: Jhep05(2021)210 6 Commentsmentioning

confidence: 99%

Charge algebra in Al(A)dSn spacetimes

Fiorucci

¹

,

Ruzziconi

²

2021

J. High Energ. Phys.

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The gravitational charge algebra of generic asymptotically locally (A)dS spacetimes is derived in n dimensions. The analysis is performed in the Starobinsky/Fefferman-Graham gauge, without assuming any further boundary condition than the minimal falloffs for conformal compactification. In particular, the boundary structure is allowed to fluctuate and plays the role of source yielding some symplectic flux at the boundary. Using the holographic renormalization procedure, the divergences are removed from the symplectic structure, which leads to finite expressions. The charges associated with boundary diffeomorphisms are generically non-vanishing, non-integrable and not conserved, while those associated with boundary Weyl rescalings are non-vanishing only in odd dimensions due to the presence of Weyl anomalies in the dual theory. The charge algebra exhibits a field-dependent 2-cocycle in odd dimensions. When the general framework is restricted to three-dimensional asymptotically AdS spacetimes with Dirichlet boundary conditions, the 2-cocycle reduces to the Brown-Henneaux central extension. The analysis is also specified to leaky boundary conditions in asymptotically locally (A)dS spacetimes that lead to the Λ-BMS asymptotic symmetry group. In the flat limit, the latter contracts into the BMS group in n dimensions.

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“…freezing sources flat limit ℓ → +∞ flat limit ℓ → +∞ freezing sources (6.3) From these considerations, it seems to us that investigating holography in AdS with a dissipative system coupling to an environment would be a excellent starting point to apprehend flat holography in d > 2. More specifically, it would be interesting to understand how the recent advances in the celestial sphere CFT description [118][119][120][121][122][123][124][125][126][127][128][129][130][131][132] are related to the AdS results through a flat limit process.…”

Section: Commentsmentioning

confidence: 99%

Charge Algebra in Al(A)dS$_n$ Spacetimes

Fiorucci¹,

Ruzziconi²

2020

Preprint

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The gravitational charge algebra of generic asymptotically locally (A)dS spacetimes is derived in n dimensions. The analysis is performed in the Starobinsky/Fefferman-Graham gauge, without assuming any further boundary condition than the minimal falloffs for conformal compactification. In particular, the boundary structure is allowed to fluctuate and plays the role of source yielding some symplectic flux at the boundary. Using the holographic renormalization procedure, the divergences are removed from the symplectic structure, which leads to finite expressions. The charges associated with boundary diffeomorphisms are generically non-vanishing, non-integrable and not conserved, while those associated with boundary Weyl rescalings are non-vanishing only in odd dimensions due to the presence of Weyl anomalies in the dual theory. The charge algebra exhibits a field-dependent 2-cocycle in odd dimensions. When the general framework is restricted to three-dimensional asymptotically AdS spacetimes with Dirichlet boundary conditions, the 2-cocycle reduces to the Brown-Henneaux central extension. The analysis is also specified to leaky boundary conditions in asymptotically locally (A)dS spacetimes that lead to the Λ-BMS asymptotic symmetry group. In the flat limit, the latter contracts into the BMS group in n dimensions.

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“…A similar construction for asymptotically flat spacetime was recently given in [10,11] based on the conformal symmetry of the celestial sphere [12]. Further progress relating asymptotically flat holography to the vanishing cosmological constant limit of AdS/CFT can be found in [13] and it is straightforward to extend our results to that setting. With a holographic map for small AdS black holes in place, we can apply the rules of quantum mechanics and methods from quantum chaos theory to estimate the size of corrections to the semiclassical approximation for observables outside the black hole as well as for observables measured by infalling observers entering the black hole.…”

Section: Introductionmentioning

confidence: 59%

Quantum Chaos and Unitary Black Hole Evaporation

Lowe,

Thorlacius

2022

Preprint

Self Cite

0

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The formation and evaporation of small AdS black holes in a theory with a holographic dual is governed by the usual rules of quantum mechanics. The eigenstate thermalization hypothesis explains the validity of semiclassical gravity for local bulk observables and can be used to quantify the magnitude of quantum corrections to the semiclassical approximation. The holographic dual produces a basis of black hole states with finite energy width, and observables that are smooth functions on the classical phase space will self-average over a large number of energy eigenstates, exponential in the Bekenstein-Hawking entropy S, leading to results that are consistent with semiclassical gravity up to small corrections of order e −S/2 . As expected, the semiclassical description breaks down for transition amplitudes that contribute to the unitary S matrix of the holographic theory.

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BMS symmetry via AdS/CFT

Cited by 6 publications

References 32 publications

Charge algebra in Al(A)dSn spacetimes

Charge algebra in Al(A)dSn spacetimes

Charge Algebra in Al(A)dS$_n$ Spacetimes

Quantum Chaos and Unitary Black Hole Evaporation

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