Holography versus correspondence principle: Eternal Schwarzschild–anti–de Sitter geometry

Emelyanov, Slava

doi:10.1103/physrevd.95.064044

Cited by 3 publications

(3 citation statements)

References 48 publications

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“…The above discussion is speculative, because it has not been proved that |Ω exists. This non-trivial question is further investigated in [43]. Let us speculate further and assume |Ω does not actually exist with the needed properties.…”

Section: Discussionmentioning

confidence: 99%

“…Besides, if K 2 does not coincide with K 1 , one cannot fit the boundaries of M 1 and M 2 . That is K 2 must be K 1 (more on this in [43]). In this sense, it would be interesting to investigate to which extent well-established results from the semi-classical quantum field theory in Schwarzschild-AdS black hole geometry characterized by A(M 2 ) can be transferred to the theory O(M 2 ).…”

Section: Discussionmentioning

confidence: 99%

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Observing quantum gravity in asymptotically AdS space

Emelyanov¹

2015

Phys. Rev. D

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A question is studied whether an observer can discover quantum gravity being in the semi-classical regime. It is shown that it is indeed possible to probe a certain quantum gravity effect by employing an appropriately designed detector. The effect is related to the possibility of having topologically inequivalent geometries at once in the path integral approach. A CFT state which is expected to describe the eternal AdS black hole in the large N limit is discussed. It is argued under certain assumptions that the black hole boundary should be merely a patch of the entire AdS boundary. This leads then to a conclusion that that CFT state is the ordinary CFT vacuum restricted to that patch. If existent, the bulk CFT operators can behave as the ordinary semi- classical quantum field theory in the large N limit in the weak sense.Comment: typos fixed; to be published in Physical Review

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Observing quantum gravity in asymptotically AdS space

Emelyanov¹

2015

Phys. Rev. D

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“…It is worth noting that these two representations from our example are not unitarily equivalent (for more on this, see [11]). We discuss analogous (reducible and irreducible) representations from a different perspective in the eternal AdS black-hole geometries in [12].…”

Section: B Time-slice and Completeness Axiommentioning

confidence: 99%

A note on bulk locality and covariance in AdS/CFT

Emelyanov¹

2015

Preprint

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Smooth causal patches for AdS black holes

Raju

2017

Phys. Rev. D

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We review the paradox of low energy excitations about an AdS black hole. An appropriately chosen unitary operator in the boundary theory can create a locally strong excitation near the black hole horizon, whose global energy is small as a result of the gravitational redshift. The paradox is that this seems to violate a general rule of statistical mechanics, which states that an operator with energy parametrically smaller than kT cannot create a significant excitation in a thermal system. When we carefully examine the position dependence of the boundary unitary operator that produces the excitation and the bulk observable necessary to detect the anomalously large effect, we find that they do not both fit in a single causal patch. This follows from a remarkable property of position space AdS correlators that we establish explicitly, and resolves the paradox in a generic state of the system, since no combination of observers can both create the excitation and observe its effect. As a special case of our analysis, we show how this resolves the "Born rule" paradox of arXiv:1506.01337 and we verify our solution using an independent calculation. We then consider boundary states that are finely tuned to display a spontaneous excitation outside the causal patch of the infalling observer, and we propose a version of causal patch complementarity in AdS/CFT that resolves the paradox for such states as well.

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Holography versus correspondence principle: Eternal Schwarzschild–anti–de Sitter geometry

Cited by 3 publications

References 48 publications

Observing quantum gravity in asymptotically AdS space

Observing quantum gravity in asymptotically AdS space

A note on bulk locality and covariance in AdS/CFT

Smooth causal patches for AdS black holes

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