Action complexity in the presence of defects and boundaries

Auzzi, Roberto; Baiguera, Stefano; Bonansea, Sara; Nardelli, Giuseppe

doi:10.1007/jhep02(2022)118

Cited by 15 publications

(4 citation statements)

References 89 publications

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“…It should be pointed out that volume-complexity 1 was also introduced for some subregions in the bulk spacetime such as in a region [11,12] enclosed by a (H)RT hypersurface [13,14] or inside a Wheeler-DeWitt (WDW) patch [15]. 2 Various aspects of the CV and CA proposals have been explored extensively in the literature such as: subregion complexity [52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67], complexity of formation [21,[68][69][70], in Jackiw-Teitelboim gravity [71][72][73], for higher derivative gravity [74][75][76], for Kerr-AdS black holes [69,77], at finite radial cutoff [72,[78][79][80][81][82], structure of the UV divergent terms [62,70,[83][84][85], regularization methods [70,…”

Section: Jhep01(2023)105mentioning

confidence: 99%

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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Section: Jhep01(2023)105mentioning

confidence: 99%

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

Omidi

2023

J. High Energ. Phys.

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“…For example, there is "defect complexity" [58]. This has been studied in the Janus solution through different prescriptions by [59,60]. It would be interesting to see if similar quantities could be realized directly in the symmetric orbifold theory at the orbifold point.…”

Section: Other Future Directionsmentioning

confidence: 99%

Transport across interfaces in symmetric orbifolds

Baig¹,

Shashi²

2023

Preprint

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A general classification of conformal interfaces has long been lacking in the literature. One approach is to map interfaces to conformal boundaries, then to use the tools of boundary CFT to extract specific physical data encoded by an associated boundary state. Guided by this, we examine how boundary states encode energy transport coefficients-i.e. transmission and reflection probabilities-of the related conformal interfaces in symmetric orbifold theories, which constitute a large class of irrational theories and are closely related to holographic setups. At the orbifold point, we find that the transport coefficients are only informed by untwisted-sector terms in the boundary states and so are averages of coefficients in the underlying seed theory. Following that, we then study the symmetric orbifold of the T 4 sigma model ICFT dual to type IIB supergravity on the 3d Janus solution. The Janus solution can be used to compute transport coefficients of particular interfaces in the strongly coupled regime of the symmetric orbifold theory (far from the orbifold point). We compare these coefficients to that of the free theory, finding that the profile of the transmission coefficient changes functionally and overall increases with the coupling.

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“…Holographic complexity has been recently studied in various asymptotically AdS backgrounds [14][15][16][17][18][19][20][21] and also in their deformations [22][23][24][25][26]. It was also computed in the presence of defects and boundaries [27][28][29][30][31][32]. The recent advancements of holographic complexity in the asymptotic de Sitter space has been discussed in [33][34][35].…”

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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Action complexity in the presence of defects and boundaries

Cited by 15 publications

References 89 publications

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

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

Transport across interfaces in symmetric orbifolds

Action complexity of charged black holes with higher derivative interactions

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