Universality in the shape dependence of holographic Rényi entropy for general higher derivative gravity

Chu, Chong‐Sun; Miao, Rong-Xin

doi:10.1007/jhep12(2016)036

Cited by 39 publications

(41 citation statements)

References 54 publications

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“…Furthermore, our discussions also apply to defect conformal field theory (DCFT) [29] with general codimensions, which is a problem of great interest. For example, the case of codimension 2 DCFT is related to the shape dependence of Rényi entropy [9,10,[30][31][32][33]. It is interesting to see whether the spirit of this letter can apply to general QFT.…”

Section: Conclusion and Discussionmentioning

confidence: 96%

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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Section: Conclusion and Discussionmentioning

confidence: 96%

Universality for shape dependence of Casimir effects from Weyl anomaly

Miao

Chu

2018

J. High Energ. Phys.

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“…where a (3) n (Ω) is a cutoff-independent function of the opening angle which has been extensively studied in the literature -e.g., for free fields in [15][16][17][18][19][20][21][22], for large-N vector models in [23], for holographic theories in [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39], in interacting lattice models in [40][41][42][43][44][45], and for general CFTs in [46][47][48][49][50].…”

Section: Contentsmentioning

confidence: 99%

Generalizing the entanglement entropy of singular regions in conformal field theories

Bueno

Casini

Witczak-Krempa

2019

J. High Energ. Phys.

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We study the structure of divergences and universal terms of the entanglement and Rényi entropies for singular regions. First, we show that for (3 + 1)dimensional free conformal field theories (CFTs), entangling regions emanating from vertices give rise to a universal contribution S univwhere γ is the curve formed by the intersection of the entangling surface with a unit sphere centered at the vertex, and k the trace of its extrinsic curvature. While for circular and elliptic cones this term reproduces the general-CFT result, it vanishes for polyhedral corners. For those, we argue that the universal contribution, which is logarithmic, is not controlled by a local integral, but rather it depends on details of the CFT in a complicated way. We also study the angle dependence for the entanglement entropy of wedge singularities in 3+1 dimensions. This is done for general CFTs in the smooth limit, and using free and holographic CFTs at generic angles. In the latter case, we show that the wedge contribution is not proportional to the entanglement entropy of a corner region in the (2 + 1)-dimensional holographic CFT. Finally, we show that the mutual information of two regions that touch at a point is not necessarily divergent, as long as the contact is through a sufficiently sharp corner. Similarly, we provide examples of singular entangling regions which do not modify the structure of divergences of the entanglement entropy compared with smooth surfaces. ArXiv ePrint: arXiv:1904.11495 A Cone entanglement in the Extensive mutual information model 40 B Which cone maximizes the Rényi entropy? 41 C Hyperconical entanglement in even dimensions 43 -1 -

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“…The scaling dimension of the twist operators h q actually encodes the information of t 2 and t 4 parameters for a CFT [116]. It turns out that specifically we have [116] h ′′ q (q = 1)…”

Section: Energy Flux Parameters From Twist Operatorsmentioning

confidence: 99%

Holographic studies of the generic massless cubic gravities

2019

Phys. Rev. D

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We consider the generic massless cubic gravities coupled to a negative bare cosmological constant mainly in D = 5 and D = 4 dimensions, which are Einstein gravity extended with cubic curvature invariants where the linearized excited spectrum around the AdS background contains no massive modes. The generic massless cubic gravities are more general than Myers quasi-topological gravity in D = 5 and Einsteinian cubic gravity in D = 4. It turns out that the massless cubic gravities admit the black holes at least in a perturbative sense with the coupling constants of the cubic terms becoming infinitesimal.The first order approximate black hole solutions with arbitrary boundary topology k are presented, and in addition, the second order approximate planar black holes are exhibited as well. We then establish the holographic dictionary for such theories by presenting acharge, C T -charge and energy flux parameters t 2 and t 4 . By perturbatively discussing the holographic Rényi entropy, we find a, C T and t 4 can somehow determine the Rényi entropy with the limit q → 1, q → 0 and q → ∞ up to the first order, where q is the order of the Rényi entropy. For holographic hydrodynamics, we discuss the shear-viscosity-entropy-ratio and find that the patterns deviating from the KSS bound 1/(4π) can somehow be controlled by ((c − a)/c, t 4 ) up to the first order in D = 5, and ((C T −ã)/C T , t 4 ) up to the second order in D = 4, where C T andã differ from C T -charge and a-charge by inessential overall constants. †

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Universality in the shape dependence of holographic Rényi entropy for general higher derivative gravity

Cited by 39 publications

References 54 publications

Universality for shape dependence of Casimir effects from Weyl anomaly

Universality for shape dependence of Casimir effects from Weyl anomaly

Generalizing the entanglement entropy of singular regions in conformal field theories

Holographic studies of the generic massless cubic gravities

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