Holographic non-computers

Barbón, J.L.F.; Martín-García, Javier

doi:10.1007/jhep02(2018)181

Cited by 3 publications

(7 citation statements)

References 28 publications

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“…1 Still, some qualitative differences in the AC/VC dichotomy persist, particularly for cold systems, such as near-extremal black holes or cold hyperbolic black holes. This is testimony of our still quite poor understanding of the duality [18][19][20]. In the benchmark model provided by the eternal black hole spacetime, the central object of interest for the VC ansatz is the extremal codimension-one surface S ∞ shown in Figure 1.…”

Section: A Quasilocal Ac Ansatz For Terminalsmentioning

confidence: 92%

“…On the other hand, we are instructed to take this contribution seriously down to its precise dependence on coefficients, as this is crucial for the claimed uniformity of the growth law (1) for AdS black holes in various dimensions, large and small. In a similar vein, the contribution (or lack of it) of the YGH term at the singularities is crucial for the 'noncomputing' behavior in various systems, such as AdS black holes in the 1/d expansion [20] and cold hyperbolic black holes [18,19].…”

Section: The Local Component Of the Terminal Complexitymentioning

confidence: 99%

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Terminal holographic complexity

Barbón

Martín-García

2018

J. High Energ. Phys.

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We introduce a quasilocal version of holographic complexity adapted to 'terminal states' such as spacelike singularities. We use a modification of the action-complexity ansatz, restricted to the past domain of dependence of the terminal set, and study a number of examples whose symmetry permits explicit evaluation, to conclude that this quantity enjoys monotonicity properties after the addition of appropriate counterterms. A notion of 'complexity density' can be defined for singularities by a coarse-graining procedure. This definition assigns finite complexity density to black hole singularities but vanishing complexity density to either generic FRW singularities or chaotic BKL singularities. We comment on the similarities and differences with Penrose's Weyl curvature criterion.1 It has been conjectured that (1) should saturate the Lloyd bound [15]. See, however [16,17].

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Section: A Quasilocal Ac Ansatz For Terminalsmentioning

confidence: 92%

Section: The Local Component Of the Terminal Complexitymentioning

confidence: 99%

Terminal holographic complexity

Barbón

Martín-García

2018

J. High Energ. Phys.

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“…Initially, there will be a period t ≤ t * = r * (0) for which C A (t) remains constant. The geometric reason behind this period of non-computation is that W t intersects both the past and future singularities, and the effects on the black hole region get compensated by the effects on the white hole region (see [10,55,56]). This is strictly never true for the BTZ black hole, for which t * = 0.…”

Section: Jhep02(2022)204mentioning

confidence: 99%

“…The delay for small quantum-dressed conical defects (M < 0) coincides with the onset for small Schwarzschild-AdS black holes. The delay time t * in this regime becomes a property of the AdS 3 'box' (see [56]).…”

Section: Regularized Actionmentioning

confidence: 99%

Holographic complexity of quantum black holes

Frassino

Sasieta

Tomašević

2022

J. High Energ. Phys.

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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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“…Initially, there will be a period t ≤ t * = r * (0) for which C A (t) remains constant. The geometric reason behind this period of non-computation is that W t intersects both the past and future singularities, and the effects on the black hole region get compensated by the effects on the white hole region (see [10,54,55]). This is strictly never true for the BTZ black hole, for which t * = 0.…”

Section: Quantum Onsetmentioning

confidence: 99%

Holographic Complexity of Quantum Black Holes

Emparan,

Frassino,

Sasieta

et al. 2021

Preprint

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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 fails to account for the additional contributions from bulk quantum fields and does not lead to the correct 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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Holographic non-computers

Cited by 3 publications

References 28 publications

Terminal holographic complexity

Terminal holographic complexity

Holographic complexity of quantum black holes

Holographic Complexity of Quantum Black Holes

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