J. High Energ. Phys.
 2018
DOI: 10.1007/jhep06(2018)046
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Holographic complexity in Vaidya spacetimes. Part I

Shira Chapman,
Hugo Marrochio,
Robert C. Myers

Abstract: We examine holographic complexity in time-dependent Vaidya spacetimes with both the complexity=volume (CV) and complexity=action (CA) proposals. We focus on the evolution of the holographic complexity for a thin shell of null fluid, which collapses into empty AdS space and forms a (one-sided) black hole. In order to apply the CA approach, we introduce an action principle for the null fluid which sources the Vaidya geometries, and we carefully examine the contribution of the null shell to the action. Further, w… Show more

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Cited by 173 publications

(245 citation statements)
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“…which is satisfied with the Lloyd bound at early time. This is also in agreement with the results in the previous works [18,23]. Further, we find that whether the Lloyd bound is violated is sensitive to the choice of the length scale R.…”
Section: Early-time Growth Stagesupporting
confidence: 93%
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
“…which is satisfied with the Lloyd bound at early time. This is also in agreement with the results in the previous works [18,23]. Further, we find that whether the Lloyd bound is violated is sensitive to the choice of the length scale R.…”
Section: Early-time Growth Stagesupporting
confidence: 93%
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
“…To connect our result to the holograph system, we propose that the circuit complexity of a free system is dual to the complexity growth rate of a strongly coupled system (123). Under this conjecture, our result shares a similar behaviour with the holograph complexity growth rate in an AdS-Vaidya black hole equipped with a shock wave [36]. Furthermore, we illustrate that apart from the divergence contributed by (110), which shares a similar formalism with the static Dirac vacuum state [25], there also exist some divergent parts contributed by the amplitude.…”
Section: Discussionsupporting
confidence: 76%
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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“…From these diagrams, one can see that the Lloyd's bound at early times would be violated and at later times it would be saturated from above similar to other studies in [8,43,48,49].…”
Section: Complexity In Dyonic Black Holessupporting
confidence: 82%
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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