Phys. Rev. D
 2018
DOI: 10.1103/physrevd.98.106013
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Time dependence of holographic complexity in Gauss-Bonnet gravity

Yu-Sen An
1
,
Rong-Gen Cai
2
,
Yuxuan Peng
3

Abstract: We study the effect of the Gauss-Bonnet term on the complexity growth rate of dual field theory using the "Complexity-Volume" (CV) and CV2.0 conjectures. We investigate the late time value and full time evolution of the complexity growth rate of the Gauss-Bonnet black holes with horizons with zero curvature (k = 0), positive curvature (k = 1) and negative curvature (k = −1) respectively. For the k = 0 and k = 1 cases we find that the Gauss-Bonnet term suppresses the growth rate as expected, while in the k = −1… Show more

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Cited by 62 publications

(39 citation statements)
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“…They show the similar behaviors with the RN-AdS black hole studied by [12]. Finally, we checked the Lloyd's bound for the regular black holes with the mass function (16) and found that our late-time revised complexity growth rate satis es this bound.…”
Section: Discussionsupporting
confidence: 69%
“…From gure 3, we can see that in these cases, the Lloyd's bound are also satis ed. Therefore, we can conclude that the revised late-time complexity growth rate term for the regular black hole with mass function (16) always satisfy the Lloyd's bound.…”
Section: Complexity Growth Rate With Maxwell Boundary Termmentioning
confidence: 80%
See 1 more Smart Citation
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
“…They show the similar behaviors with the RN-AdS black hole studied by [12]. Finally, we checked the Lloyd's bound for the regular black holes with the mass function (16) and found that our late-time revised complexity growth rate satis es this bound.…”
Section: Discussionsupporting
confidence: 69%
“…From gure 3, we can see that in these cases, the Lloyd's bound are also satis ed. Therefore, we can conclude that the revised late-time complexity growth rate term for the regular black hole with mass function (16) always satisfy the Lloyd's bound.…”
Section: Complexity Growth Rate With Maxwell Boundary Termmentioning
confidence: 80%
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
“…In particular, by studying the time evolution of dC A dt , it was found that dC A dt violates the Lloyd bound at early times, and then approaches the bound from above at late times [59] (see also [60]). Motivated by the work of [59], several other investigations found similar violation of the Lloyd bound in other gravity models as well [61][62][63]. Recently, a few holographic systems, including Lifshitz and hyperscaling violating geometries, containing additional matter fields were also shown to exhibit the violation of Lloyd bound even at late times [64][65][66][67].…”
Section: Introductionmentioning
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.
show abstract
“…Our main concern was to compute finite term of the on-shell action. It is contrary to the most studies in the literature where the main concern was to compute the growth rate of the complexity (see for example [53][54][55][56][57][58][59][60][61][62][63][64][65][66]).…”
Section: Discussionmentioning
confidence: 92%
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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