Dynamical boundary for anti–de Sitter space

Krishnan, Chethan; Raju, Avinash; Subramanian, P. N. Bala

doi:10.1103/physrevd.94.126011

Cited by 22 publications

(30 citation statements)

References 55 publications

(134 reference statements)

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“…Since the structure of these terms is such that the variations are acted on by covariant derivatives one cannot impose the Dirichlet condition. For this reason one adds an extra term of the trace of the second fundamental formoften called the Gibbons-Hawking term [12] (see [13,14] for reviews; discussions on the Dirichlet boundary conditions can also be found, e.g., in [15][16][17][18][19][20][21]) -in the starting action so that the variation of the extra term exactly cancels the boundary terms above. It is then possible to impose the Dirichlet boundary condition.…”

Section: Classical Boundary Conditionmentioning

confidence: 99%

Quantum “violation” of Dirichlet boundary condition

Park

2017

Physics Letters B

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Dirichlet boundary conditions have been widely used in general relativity. They seem at odds with the holographic property of gravity simply because a boundary configuration can be varying and dynamic instead of dying out as required by the conditions. In this work we report what should be a tension between the Dirichlet boundary conditions and quantum gravitational effects, and show that a quantumcorrected black hole solution of the 1PI action no longer obeys, in the naive manner one may expect, the Dirichlet boundary conditions imposed at the classical level. We attribute the 'violation' of the Dirichlet boundary conditions to a certain mechanism of the information storage on the boundary. arXiv:1609.06251v3 [hep-th] 9 Dec 2016 1 It was stated that inclusion of all of the possible boundary conditions is necessary for the complete Hilbert space. This seems to be in line with the AdS/CFT, and the present work shares the spirit.

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Section: Classical Boundary Conditionmentioning

confidence: 99%

Quantum “violation” of Dirichlet boundary condition

Park

2017

Physics Letters B

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“…Note however that attractor behavior is typically associated to uncharged scalars, so the flavor here is slightly different. One can also try to construct hairy solutions with other boundary conditions (see eg., [39][40][41]). …”

Section: Jhep11(2016)041mentioning

confidence: 99%

Hairy black holes in a box

Basu

Krishnan

Subramanian

2016

J. High Energ. Phys.

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We do a systematic study of the phases of gravity coupled to an electromagnetic field and charged scalar in flat space, with box boundary conditions. The scalar-less box has previously been investigated by Braden, Brown, Whiting and York (and others) before AdS/CFT and we elaborate and extend their results in a language more familiar from holography. The phase diagram of the system is analogous to that of AdS black holes, but we emphasize the differences and explain their origin. Once the scalar is added, we show that the system admits both boson stars as well as hairy black holes as solutions, providing yet another way to evade flat space no-hair theorems. Furthermore both these solutions can exist as stable phases in regions of the phase diagram. The final picture of the phases that emerges is strikingly similar to that found recently for holographic superconductors in global AdS, arXiv:1602.07211. Our construction lays bare certain previously unnoticed subtleties associated to the definition quasi-local charges for gravitating scalar fields in finite regions.

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“…There is thus no incompatibility between the Kounterterms and the usual Dirichlet boundary condition, because δg (0) ij = 0 indeed implies δK i j = 0 at the required level of accuracy. (Other works have explored the viability of different boundary conditions for ALAdS gravity, of Neumann [88][89][90][91] or Robin [92] type. )…”

Section: Introductionmentioning

confidence: 99%

Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs

Anastasiou

Araya

Güijosa

et al. 2019

J. High Energ. Phys.

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We derive a general formula for renormalized entanglement entropy in evendimensional CFTs holographically dual to Einstein gravity in one dimension higher. In order to renormalize, we adapt the Kounterterm method to asymptotically locally AdS manifolds with conical singularities. On the gravity side, the computation considers extrinsic counterterms and the use of the replica trickà la Lewkowycz-Maldacena. The boundary counterterm B d is shown to satisfy a key property, in direct analogy to the Euler density: when evaluated on a conically singular manifold, it decomposes into a regular part plus a codimension-2 version of itself located at the conical singularity. The renormalized entropy thus obtained is shown to correspond to the universal part of the holographic entanglement entropy, which for spherical entangling surfaces is proportional to the central charge a that is the subject of the a-theorem. We also review and elucidate various aspects of the Kounterterm approach, including in particular its full compatibility with the Dirichlet condition for the metric at the conformal boundary, that is of standard use in holography.

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Dynamical boundary for anti–de Sitter space

Cited by 22 publications

References 55 publications

Quantum “violation” of Dirichlet boundary condition

Quantum “violation” of Dirichlet boundary condition

Hairy black holes in a box

Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs

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