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Holographic complexity of quantum black holes

Emparan, Roberto, Frassino, Antonia Micol, Sasieta, Martin, Tomašević, Marija·2022·Journal of High Energy Physics
DOI 10.1007/jhep02(2022)204
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Abstract

We analyze different holographic complexity proposals for black holes that include corrections from bulk quantum fields. The specific setup is the quantum BTZ black hole, which encompasses in an exact manner the effects of conformal fields with large central charge in the presence of the black hole, including the backreaction corrections to the BTZ metric. Our results show that Volume Complexity admits a consistent quantum expansion and correctly reproduces known limits. On the other hand, the generalized Action Complexity picks up large contributions from the singularity, which is modified due to quantum backreaction, with the result that Action Complexity does not reproduce the expected classical limit. Furthermore, we show that the doubly-holographic setup allows computing the complexity coming purely from quantum fields — a notion that has proven evasive in usual holographic setups. We find that in holographic induced-gravity scenarios the complexity of quantum fields in a black hole background vanishes to leading order in the gravitational strength of CFT effects.

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  • With l > L4, H(r) has a single positive root r+ representing a black hole horizon, and the C-metric describes a single 'slowly accelerating' black hole suspended away from the center of AdS4 by a cosmic string attached at the horizon.

    “With this restriction, H(r) has a single positive root r + representing a black hole horizon, 22 and the C-metric describes a single 'slowly accelerating' black hole suspended away from the center of AdS 4 by a cosmic string attached at the horizon [91].”

    From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [91]

  • This regime is precisely the 'slowly accelerating' black hole where the inverse acceleration and AdS4 length scale satisfy l > L4.

    “This regime is precisely the 'slowly accelerating' black hole [91] where the (inverse) acceleration and AdS 4 length scale satisfy Slowly accelerating: ℓ > L 4 .”

    From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [91]

  • One way to circumvent the non-equilibrium problem is to work in a regime in which the black hole is slowly accelerating, where A < L4^{-1}; this translates to A < A√(1+λ), i.e., λ > 0, or an AdS3 slicing on the brane.

    “One way to circumvent this problem is to work in a regime in which the black hole is slowly accelerating, where A < L -1 4 [91].This translates to A < A √ 1 + λ, i.e., λ > 0, or, an AdS 3 slicing on the brane.”

    From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [91]

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Metadata

Authors
Emparan, R., Frassino, A. M., Sasieta, M., & Tomašević, M.
ORCID
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2022-02
Volume
2022
Issue
2
ISSN
1029-8479
DOI
10.1007/jhep02(2022)204
Cited by
40
References
5
Language
en
Licence

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