Corner contributions to holographic entanglement entropy in AdS4/BCFT3

Seminara, Domenico; Sisti, Jacopo; Tonni, Erik

doi:10.1007/jhep11(2017)076

Cited by 62 publications

(100 citation statements)

References 96 publications

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“…It should be mentioned that, following our method, the above α 1 is independently obtained in a recent paper [34], which exactly agrees with our results when using our notations. The derivation of (A.14)-(A.17) is straightforward.…”

supporting

confidence: 91%

Universality for shape dependence of Casimir effects from Weyl anomaly

Miao

Chu

2018

J. High Energ. Phys.

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We reveal elegant relations between the shape dependence of the Casimir effects and Weyl anomaly in boundary conformal field theories (BCFT). We show that for any BCFT which has a description in terms of an effective action, the near boundary divergent behavior of the renormalized stress tensor is completely determined by the central charges of the theory. These relations are verified by free BCFTs. We also test them with holographic models of BCFT and find exact agreement. We propose that these relations between Casimir coefficients and central charges hold for any BCFT. With the holographic models, we reproduce not only the precise form of the near boundary divergent behavior of the stress tensor, but also the surface counter term that is needed to make the total energy finite. As they are proportional to the central charges, the near boundary divergence of the stress tensor must be physical and cannot be dropped by further artificial renormalization. Our results thus provide affirmative support on the physical nature of the divergent energy density near the boundary, whose reality has been a long-standing controversy in the literature.

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supporting

confidence: 91%

Universality for shape dependence of Casimir effects from Weyl anomaly

Miao

Chu

2018

J. High Energ. Phys.

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“…This "CV subregion complexity" requires first to compute the minimal area surface anchored to the given subregion, whose area provides its holographic entanglement entropy through the Ryu-Takayanagi (RT) prescription [48]. These minimal area "RT surfaces" in the context of AdS/BCFT have been studied extensively [13,14,24,[49][50][51][52][53][54]. The holographic CV subregion complexity is then calculated from the volume of the intersection of the maximal time slice considered in section 2.2, with the spacetime region delimited by the RT surface of the given subregion.…”

Section: Holographic Subregion Complexitymentioning

confidence: 99%

“…The critical distance for the transition between configurations (b) and (c) reads d c = /2(sec α/2 − 1) [50]. In higher dimensions there exists a limiting value α c of the angle α for the transition to happen -for α < α c configuration (c) is always preferred, even at d = 0 [52]. In three spacetime dimensions, instead, configuration (b) is the dominant one for any value of α if the distance d is small enough.…”

Section: Holographic Subregion Complexitymentioning

confidence: 99%

Complexity in the presence of a boundary

Paolo

Cotrone

Tonni

2020

J. High Energ. Phys.

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The effects of a boundary on the circuit complexity are studied in two dimensional theories. The analysis is performed in the holographic realization of a conformal field theory with a boundary by employing different proposals for the dual of the complexity, including the "Complexity = Volume" (CV) and "Complexity = Action" (CA) prescriptions, and in the harmonic chain with Dirichlet boundary conditions. In all the cases considered except for CA, the boundary introduces a subleading logarithmic divergence in the expansion of the complexity as the UV cutoff vanishes. Holographic subregion complexity is also explored in the CV case, finding that it can change discontinuously under continuous variations of the configuration of the subregion.

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“…The duality has been extensively studied in the literature, with many interesting results obtained. See, for example [75][76][77][78][79][80][81][82][83][84][85].…”

Section: Holographic Boundary Conformal Field Theorymentioning

confidence: 99%

Weyl Anomaly and Vacuum Magnetization Current of M5‐brane in Background Flux

Chu

2019

Fortschritte der Physik

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It was recently discovered that for a boundary system in the presence of a background magnetic field, the quantum fluctuation of the vacuum would create a non‐uniform magnetization density for the vacuum and a magnetization current is induced in the vacuum. It was also shown that this ‘magnetic Casimir effect’ of the vacuum is closely related to another quantum effect of the vacuum, the Weyl anomaly. Furthermore, the phenomena can be understood in terms of the holography of the boundary system. In this article, we review the derivation of this phenomena from QFT as well as the derivation of it using AdS/BCFT. We then generalize this four dimensional effect to six‐dimensions. We use the AdS/BCFT holography to show that in the presence of a 3‐form magnetic field strength H, a string current is induced in a six‐dimensional boundary conformal field theory. This allows us to determine the gauge field contribution to the Weyl anomaly in six‐dimensional conformal field theory in a H‐flux background. For the (2,0) superconformal field theory of N M5‐branes, the current has a magnitude proportional to N3 for large N. This suggests that the degree of freedoms scales as N3 in the (2,0) superconformal theory of N multiple M5‐branes. Our result for the Weyl anomaly is a new prediction for the (2,0) theory.

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Corner contributions to holographic entanglement entropy in AdS4/BCFT3

Cited by 62 publications

References 96 publications

Universality for shape dependence of Casimir effects from Weyl anomaly

Universality for shape dependence of Casimir effects from Weyl anomaly

Complexity in the presence of a boundary

Weyl Anomaly and Vacuum Magnetization Current of M5‐brane in Background Flux

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