Holographic Complexity Equals Bulk Action?

Brown, Adam R.; Roberts, Daniel A.; Susskind, Leonard; Swingle, Brian; Zhao, Ying

doi:10.1103/physrevlett.116.191301

Phys. Rev. Lett.

2016

DOI: 10.1103/physrevlett.116.191301

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Holographic Complexity Equals Bulk Action?

Adam R. Brown

¹

,

Daniel A. Roberts

²

,

Leonard Susskind

³

et al.

Abstract: We conjecture that the quantum complexity of a holographic state is dual to the action of a certain spacetime region that we call a Wheeler-DeWitt patch. We illustrate and test the conjecture in the context of neutral, charged, and rotating black holes in anti-de Sitter spacetime, as well as black holes perturbed with static shells and with shock waves. This conjecture evolved from a previous conjecture that complexity is dual to spatial volume, but appears to be a major improvement over the original. In light… Show more

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Cited by 934 publications

(1,346 citation statements)

References 37 publications

Supporting

32

Mentioning

1,310

Contrasting

3

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“…22 Therefore dC A /dt 0 is monotonically increasing and approaches the late time limit from below. These features contrast with the corresponding results for the eternal black hole [48], and as previously noted in [50], for the process of black hole formation, dC A /dt 0 respects the proposed bound on the rate of complexity growth suggested in [29,30], i.e., dC A /dt 0 ≤ 2M/π.…”

Section: Jhep06(2018)046contrasting

confidence: 99%

Holographic complexity in Vaidya spacetimes. Part I

Chapman,

Marrochio,

Myers

2018

J. High Energ. Phys.

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Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

show abstract

“…22 Therefore dC A /dt 0 is monotonically increasing and approaches the late time limit from below. These features contrast with the corresponding results for the eternal black hole [48], and as previously noted in [50], for the process of black hole formation, dC A /dt 0 respects the proposed bound on the rate of complexity growth suggested in [29,30], i.e., dC A /dt 0 ≤ 2M/π.…”

Section: Jhep06(2018)046contrasting

confidence: 99%

Holographic complexity in Vaidya spacetimes. Part I

Chapman,

Marrochio,

Myers

2018

J. High Energ. Phys.

Get access via publisher Add to dashboard Cite

Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

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“…if we set k = 4/π. Remarkably, the relation (44) reflecting the growth of the complexity based on the CV duality is consistent to the result based on the complexity-action duality for all uncharged nonrotating AdS black holes in any spacetime dimensions [47,[50][51][52][53][54].…”

Section: Discussionsupporting

confidence: 82%

Interior volume of Banados–Teitelboim–Zanelli black hole

Zhang

¹

2019

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Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

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“…Strictly speaking, we should consider this result to hold in a regime where the mass is much larger than the charge, but the charge is still large enough that the inner horizon is not 'close' to the singularity. The vanishing ofĊ A at extremality is in line with results from Einstein gravity [39,40,43]. However, we note that a very interesting behavior appears in neutral black holes in even dimensions due to the appearance of M min .…”

supporting

confidence: 90%

Complexity Growth Rate in Lovelock Gravity

Cano

¹

,

Hennigar

²

,

Marrochio

³

2018

Get access via publisher Add to dashboard Cite

Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

show abstract

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