Regularizations of action-complexity for a pure BTZ black hole microstate

Omidi, Farzad

doi:10.1007/jhep07(2020)020

Cited by 22 publications

(9 citation statements)

References 62 publications

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“…In this paper we will work with regularization A. The divergences of regulatization B are related to the ones of regularization A by another counterterm that can be introduced on the cutoff at the boundary [75,76], in the spirit of holographic renormalization [77][78][79][80]. We will check that in our case such a counterterm is finite (see appendix C).…”

Section: Jhep02(2022)118mentioning

confidence: 99%

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Action complexity in the presence of defects and boundaries

Auzzi

Baiguera

Bonansea

et al. 2022

J. High Energ. Phys.

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The holographic complexity of formation for the AdS3 2-sided Randall-Sundrum model and the AdS3/BCFT2 models is logarithmically divergent according to the volume conjecture, while it is finite using the action proposal. One might be tempted to conclude that the UV divergences of the volume and action conjectures are always different for defects and boundaries in two-dimensional conformal field theories. We show that this is not the case. In fact, in Janus AdS3 we find that both volume and action proposals provide the same kind of logarithmic divergences.

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Section: Jhep02(2022)118mentioning

confidence: 99%

“…In this appendix we consider the inclusion in the action of the counterterm introduced in [75,76], which for d = 2 is…”

Section: Counterterms On Timelike Boundariesmentioning

confidence: 99%

Action complexity in the presence of defects and boundaries

Auzzi

Baiguera

Bonansea

et al. 2022

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…In this paper we will work with regularization A. The divergences of regulatization B are related to the ones of regularization A by another counterterm that can be introduced on the cutoff at the boundary [67,68], in the spirit of holographic renormalization [69][70][71][72]. We will check that in our case such a counterterm is finite (see Appendix C).…”

Section: Regularization Prescriptions For Uv Divergencesmentioning

confidence: 99%

“…In this Appendix we consider the inclusion in the action of the counterterm introduced in [67,68], which for d = 2 is…”

Section: Counterterms On Timelike Boundariesmentioning

confidence: 99%

See 1 more Smart Citation

Action complexity in the presence of defects and boundaries

Auzzi,

Baiguera,

Bonansea

et al. 2021

Preprint

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The holographic complexity of formation for the AdS 3 Randall/Sundrum and the AdS 3 /BCFT 2 models is logarithmically divergent according to the volume conjecture, while it is finite using the action proposal. One might be tempted to conclude that the UV divergencies of the volume and action conjectures are always different for defects and boundaries in two-dimensional conformal field theories. We show that this is not the case. In fact, in Janus AdS 3 we find that both volume and action proposals provide the same kind of logarithmic divergences.

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Generalized volume-complexity for two-sided hyperscaling violating black branes

Omidi

2023

J. High Energ. Phys.

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In this paper, we investigate generalized volume-complexity $$ \mathcal{C} $$ C gen for a two-sided uncharged HV black brane in d + 2 dimensions. This quantity which was recently introduced in [48], is an extension of volume in the Complexity=Volume (CV) proposal, by adding higher curvature corrections with a coupling constant λ to the volume functional. We numerically calculate the growth rate of $$ \mathcal{C} $$ C gen for different values of the hyperscaling violation exponent θ and dynamical exponent z. It is observed that $$ \mathcal{C} $$ C gen always grows linearly at late times provided that we choose λ properly. Moreover, it approaches its late time value from below. For the case λ = 0, we find an analytic expression for the late time growth rate for arbitrary values of θ and z. However, for λ ≠ 0, the late time growth rate can only be calculated analytically for some specific values of θ and z. We also examine the dependence of the growth rate on d, θ, z and λ. Furthermore, we calculate the complexity of formation obtained from volume-complexity and show that it is not UV divergent. We also examine its dependence on the thermal entropy and temperature of the black brane. At the end, we also numerically calculate the growth rate of $$ \mathcal{C} $$ C gen for the case where the higher curvature corrections are a linear combination of the Ricci scalar, square of the Ricci tensor and square of the Riemann tensor. We show that for appropriate values of the coupling constants, the late time growth rate is again linear.

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Regularizations of action-complexity for a pure BTZ black hole microstate

Cited by 22 publications

References 62 publications

Action complexity in the presence of defects and boundaries

Action complexity in the presence of defects and boundaries

Action complexity in the presence of defects and boundaries

Generalized volume-complexity for two-sided hyperscaling violating black branes

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