Holographic subregion complexity of boosted black brane and Fisher information

Karar, Sourav; Mishra, Rohit; Gangopadhyay, Sunandan

doi:10.1103/physrevd.100.026006

Cited by 22 publications

(20 citation statements)

References 68 publications

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“…These two quantities are related in the context of quantum information. A similar observation has already been made in the relativistic background in [39]. It would be therefore be interesting to find a reason for this mismatch.…”

Section: Resultssupporting

confidence: 79%

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Holographic information theoretic quantities for Lifshitz black hole

Karar

Gangopadhyay

2020

Eur. Phys. J. C

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In this paper, we have investigated the holographic entanglement entropy for a linear subsystem in a 3 + 1-dimensional Lifshitz black hole. The entanglement entropy has been analysed in both the infra-red and ultraviolet limits, and has also been computed in the near horizon approximation. The notion of a generalized temperature in terms of the renormalized entanglement entropy has been introduced. This also leads to a generalized thermodynamics like law E = 1 2 T g S R E E. The generalized temperature has been defined in such a way that it reduces to the Hawking temperature in the infra-red limit. We find that the inverse of the generalized temperature (β g = 1/T g) attains a non-zero value when the subsystem length becomes zero although it is zero in case of the Schwarzschild-AdS black hole. We have then computed the holographic subregion complexity. We find that the subregion complexity has logarithmic divergence which was absent in case of the 3 + 1-dimensional Schwarzschild-AdS black hole. Then the Fisher information metric and the fidelity susceptibility for the same linear subsystem have also been computed using the bulk dual prescriptions. It has been observed that the two metrics are not related to each other.

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Section: Resultssupporting

confidence: 79%

“…where A(W ) is the action calculated on the Wheeler-De Witt patch W . The majority of the analyses of the quantities described above have been carried out for systems which are relativistic in nature [28][29][30][31][32][33][34][35][36][37][38][39]. Relatively few investigations has been done for non-relativistic systems.…”

Section: Introductionmentioning

confidence: 99%

Holographic information theoretic quantities for Lifshitz black hole

Karar

Gangopadhyay

2020

Eur. Phys. J. C

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“…It is also worth mentioning that many proposals have been given which relate the HSC with other information theoretical quantities, like the Fisher information metric and the Bures metric (fidelity susceptibility) [59][60][61][62]. These are standard notions of distances in quantum information theory [63][64][65] and arise holographically when one considers an excitation of the dual spacetime geometry.…”

Section: Discussionmentioning

confidence: 99%

Universal pieces of holographic entanglement entropy and holographic subregion complexity

2020

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We propose that the definition of holographic subregion complexity needs a slight modification for supergravity solutions with warped anti-de Sitter (AdS) factors. Such warp factors can arise due to the nontrivial dilaton profile, for example, in AdS 6 solutions of type IIA supergravity. This modified definition ensures that the universal piece of the holographic subregion complexity is proportional to that of the holographic entanglement entropy, as is the case for supergravity solutions without warp factors. This also means that the leading behavior at large N is the same for both these quantities, as we show for some wellknown supergravity solutions (with and without warp factors) in various dimensions. We also show that this relation between the universal pieces suggests "universal" relations between the field theoretical analogue of holographic subregion complexity and the sphere partition function or Weyl a-anomaly in odd or even dimensions, respectively.

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“…These are known as the holographic subregion complexity (HSC) for the CV conjecture [10] or the CA conjecture [12]. Other studies on the HSC include [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. In this paper, we construct renormalized HEE and HSC by focusing on the CV conjecture and hence the HSC in this paper refers to the quantity obtained through the CV conjecture.…”

Section: Introductionmentioning

confidence: 99%

Renormalized holographic subregion complexity under relevant perturbations

Jang

Kim

Kwon

et al. 2020

J. High Energ. Phys.

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We construct renormalized holographic entanglement entropy (HEE) and subregion complexity (HSC) in the CV conjecture for asymptotically AdS 4 and AdS 5 geometries under relevant perturbations. Using the holographic renormalization method developed in the gauge/gravity duality, we obtain counter terms which are invariant under coordinate choices. We explicitly define different forms of renormalized HEE and HSC, according to conformal dimensions of relevant operators in the d = 3 and d = 4 dual field theories. We use a general embedding for arbitrary entangling subregions and showed that any choice of the coordinate system gives the same form of the counter terms, since they are written in terms of curvature invariants and scalar fields on the boundaries. We show an explicit example of our general procedure. Intriguingly, we find that a divergent term of the HSC in the asymptotically AdS 5 geometry under relevant perturbations with operators of conformal dimensions in the range 0 < ∆ < 1 2 and 7 2 < ∆ < 4 cannot be cancelled out by adding any coordinate invariant counter term. This implies that the HSCs in these ranges of the conformal dimensions are not renormalizable covariantly. We also write the plot of the renormalization procedure in the case of asymptotically AdS d+1 geometries, with d > 4.

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Holographic subregion complexity of boosted black brane and Fisher information

Cited by 22 publications

References 68 publications

Holographic information theoretic quantities for Lifshitz black hole

Holographic information theoretic quantities for Lifshitz black hole

Universal pieces of holographic entanglement entropy and holographic subregion complexity

Renormalized holographic subregion complexity under relevant perturbations

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