Entanglement entropy in flat holography

Jiang, Hongliang; Song, Wei; Wen, Qiang

doi:10.1007/jhep07(2017)142

Cited by 123 publications

(313 citation statements)

References 101 publications

(220 reference statements)

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“…In order to establish a connection between Einstein gravity in three dimensional asymptotically Minkowski space and a BMS 3 field theory, it is necessary to understand whether a generalization of the RT/HRT proposals exist in flat space. The authors of [18] have recently computed holo-1 This is the limit where the dimensions of the operators in the correlation functions are in the regime 1 m 1/G, so that the geodesic approximation can be used but back reaction can be neglected.…”

Section: Jhep05(2018)068mentioning

confidence: 99%

Holographic entanglement and Poincaré blocks in three-dimensional flat space

Hijano

Rabideau

2018

J. High Energ. Phys.

154

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We propose a covariant prescription to compute holographic entanglement entropy and Poincaré blocks (Global BMS blocks) in the context of three-dimensional Einstein gravity in flat space. We first present a prescription based on worldline methods in the probe limit, inspired by recent analog calculations in AdS/CFT. Building on this construction, we propose a full extrapolate dictionary and use it to compute holographic correlators and blocks away from the probe limit.

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Section: Jhep05(2018)068mentioning

confidence: 99%

Holographic entanglement and Poincaré blocks in three-dimensional flat space

Hijano

Rabideau

2018

J. High Energ. Phys.

154

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“…One simple quantitative measure of this entanglement is the entanglement entropy. The reduced density matrix ρ A , for [20] the sub-system A, is given by tracing out the whole system density matrix, ρ, with respect to H B ,…”

Section: Bmsft Entanglement Entropy Using Flat-space Holographymentioning

confidence: 99%

“…In [20] the authors provide a nice holographic description of the BMSFT entanglement entropy. They pointed out that the holographic entanglement entropy is given by the length of a spacelike geodesic γ in the asymptotically flat spacetime which is connected to the null infinity by two null geodesics γ ± (Fig.…”

Section: Bmsft Entanglement Entropy Using Flat-space Holographymentioning

confidence: 99%

“…This may imply that the entanglement entropy (at least for simple intervals) could have a universal form. Study of the BMSFT entanglement entropy has been started in [17] and continued in [18][19][20][21]. An interesting holographic description for the BMSFT entanglement entropy has been introduced in [20].…”

Section: Introductionmentioning

confidence: 99%

“…Study of the BMSFT entanglement entropy has been started in [17] and continued in [18][19][20][21]. An interesting holographic description for the BMSFT entanglement entropy has been introduced in [20]. The idea is very similar to that of CFTs in the context of AdS/CFT correspondence [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

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Holographic calculation of BMSFT mutual and 3-partite information

Asadi

Fareghbal

2018

Eur. Phys. J. C

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We use flat-space holography to calculate the mutual information and the 3-partite information of a two-dimensional BMS-invariant field theory (BMSFT 2 ). This theory is the putative holographic dual of the threedimensional asymptotically flat spacetimes. We find a bound in which entangling transition occurs for zero and finite temperature BMSFTs. We also show that the holographic 3-partite information is always non-positive which indicates that the holographic mutual information is monogamous.

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Towards the generalized gravitational entropy for spacetimes with non-Lorentz invariant duals

Wen

2019

J. High Energ. Phys.

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Based on the Lewkowycz-Maldacena prescription and the fine structure analysis of holographic entanglement proposed in [1], we explicitly calculate the holographic entanglement entropy for warped CFT that duals to AdS 3 with a Dirichlet-Neumann type of boundary conditions. We find that certain type of null geodesics emanating from the entangling surface ∂A relate the field theory UV cutoff and the gravity IR cutoff. Inspired by the construction, we furthermore propose an intrinsic prescription to calculate the generalized gravitational entropy for general spacetimes with non-Lorentz invariant duals. Compared with the RT formula, there are two main differences. Firstly, instead of requiring that the bulk extremal surface E should be anchored on ∂A, we require the consistency between the boundary and bulk causal structures to determine the corresponding E. Secondly we use the null geodesics (or hypersurfaces) emanating from ∂A and normal to E to regulate E in the bulk. We apply this prescription to flat space in three dimensions and get the entanglement entropies straightforwardly. arXiv:1810.11756v3 [hep-th] 29 Jan 20191 The extremal condition is the result of imposing the equations of motion and replica symmetry on all the fields in the action. In [13], as the gauge fields are nondynamical and do not appear in the symplectic structure, thus should not be imposed with the replica symmetry (or periodic) condition. As a result, in that case the geometric quantity E that measures the entanglement entropy is not an extremal surface. See [14] for a simpler discussion on the extremal condition.2 A proof for the homology constraint at topological level in AdS/CFT is given in [19] 3 Although the AdS/CFT has attracted most of the attentions, the holographic principle is assumed to be hold for general spacetimes. So far the holography beyond AdS/CFT that has been proposed include the dS/CFT correspondence [20], the Lifshitz spacetime/Lifshitz-type field theory duality [21][22][23][24], the Kerr/CFT correspondence [25], the WAdS/CFT [26,27] or WAdS/WCFT [28,29] correspondence, and flat holography in four dimensions [30][31][32] and three dimensions [33][34][35].

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Entanglement entropy in flat holography

Cited by 123 publications

References 101 publications

Holographic entanglement and Poincaré blocks in three-dimensional flat space

Holographic entanglement and Poincaré blocks in three-dimensional flat space

Holographic calculation of BMSFT mutual and 3-partite information

Towards the generalized gravitational entropy for spacetimes with non-Lorentz invariant duals

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