Complexity growth in Gubser–Rocha models with momentum relaxation

Babaei-Aghbolagh, H.; Yekta, Davood Mahdavian; Velni, Komeil Babaei; Mohammadzadeh, Hosein

doi:10.1140/epjc/s10052-022-10253-9

Cited by 7 publications

(3 citation statements)

References 90 publications

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“…While there are many investigations of complexity for analytic solutions in the literature, see, e.g. [31][32][33][34][35][36][37][38][39], the complexity in holographic superconductor have been only considered by using the CV conjecture [40] and sub-region CV conjecture [41]. The study of the holographic superconductor using the CA conjecture has not been done, as the WdW action relies on the whole internal geometry of a black hole.…”

Section: Jhep08(2022)133mentioning

confidence: 99%

Interior structure and complexity growth rate of holographic superconductor from M-theory

Yang

et al. 2022

J. High Energ. Phys.

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We study the interior dynamics of a top-down holographic superconductor from M-theory. The condense of the charged scalar hair necessarily removes the inner Cauchy horizon and the spacetime ends at a spacelike singularity. Although there is a smooth superconducting phase transition at the critical temperature, the onset of superconductivity is accompanied by intricate interior dynamics, including the collapse of the Einstein-Rosen bridge, the Josephson oscillations of the condensate, and the final Kasner singularity. We obtain analytically the transformation rule for the alternation of different Kasner epochs. Thanks to the nonlinear couplings of the top-down theory, there is generically a never-ending chaotic alternation of Kasner epochs towards the singularity. We compute the holographic complexity using both the complexity-action and the complexity-volume dualities. In contrast to the latter, the complexity growth rate from the complexity-action duality has a discontinuity at the critical temperature, characterizing the sudden change of the internal structure before and after the superconducting phase transition.

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Section: Jhep08(2022)133mentioning

confidence: 99%

Interior structure and complexity growth rate of holographic superconductor from M-theory

Yang

et al. 2022

J. High Energ. Phys.

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“…This relation fails in the presence of Maxwell boundary term with non trivial γ even when the gravity theory contains at most two derivative terms [10]. A violation was also recently observed in [48] for some specific momentum relaxation terms. We see that, in our case, even when γ = 0 the late time complexity growth has non-trivial dependence on the higher derivative terms.…”

Section: Total Late Time Growth Ratementioning

confidence: 80%

“…It is well established that for neutral black holes, the Lloyd's bound is equal to twice of the black hole mass. We also know that the Lloyd's bound continues to be valid in the presence of the higher order curvature corrections [43,44] or momentum relaxation terms [48]. For charged black holes, the Llyod's bound involves the chemical potential.…”

Section: Introductionmentioning

confidence: 99%

Action complexity of charged black holes with higher derivative interactions

Mandal¹,

Mitra²,

Punia³

2022

Preprint

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Quantum complexity of CFT states can be computed holographically from the dual gravitational solutions. In this paper, we have studied the late time growth of holographic complexity of a charged black hole in five dimensional Antide Sitter spacetime in the presence of quartic derivative interaction terms using the Complexity = Action conjecture. These interaction terms in the gravitational action can lead to the violation of Llyod's bound. The dual CFT is known to admit a hydrodynamic description where the KSS bound is also violated due to the presence of higher derivative terms in the bulk action. The origin of terms which violate both the bounds are the same for the gravitational action of consideration. We have also discussed the late time complexity growth rate of the Jackiw-Teitelboim (JT) model with higher derivative corrections.

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On the time dependence of holographic complexity for charged AdS black holes with scalar hair

Auzzi

Bolognesi

Rabinovici

et al. 2022

J. High Energ. Phys.

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In the presence of a scalar hair perturbation, the Cauchy horizon of a Reissner-Nordström black hole disappears and is replaced by the rapid collapse of the Einstein-Rosen bridge, which leads to a Kasner singularity [1, 2]. We study the time-dependence of holographic complexity, both for the volume and for the action proposals, in a class of models with hairy black holes. Volume complexity can only probe a portion of the black hole interior that remains far away from the Kasner singularity. We provide numerical evidence that the Lloyd bound is satisfied by the volume complexity rate in all the parameter space that we explored. Action complexity can instead probe a portion of the spacetime closer to the singularity. In particular, the complexity rate diverges at the critical time tc for which the Wheeler-DeWitt patch touches the singularity. After the critical time the action complexity rate approaches a constant. We find that the Kasner exponent does not directly affect the details of the divergence of the complexity rate at t = tc and the late-time behaviour of the complexity. The Lloyd bound is violated by action complexity at finite time, because the complexity rate diverges at t = tc. We find that the Lloyd bound is satisfied by the asymptotic action complexity rate in all the parameter space that we investigated.

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Complexity growth in Gubser–Rocha models with momentum relaxation

Cited by 7 publications

References 90 publications

Interior structure and complexity growth rate of holographic superconductor from M-theory

Interior structure and complexity growth rate of holographic superconductor from M-theory

Action complexity of charged black holes with higher derivative interactions

On the time dependence of holographic complexity for charged AdS black holes with scalar hair

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