Entanglement entropy inequalities in BCFT by holography

Chou, Chia-Jui; Lin, Bo-Han; Wang, Bin; Yang, Yi

doi:10.1007/jhep02(2021)154

Cited by 5 publications

(4 citation statements)

References 33 publications

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“…Along similar lines, for a generic CFT living on the twisted-upper-half-plane the matching between the two boundary channels provides an interesting bootstrap constraint. 18 We leave these problems to future work.…”

Section: Jhep08(2021)003mentioning

confidence: 99%

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Holographic BCFTs and communicating black holes

Geng

Lüst

Mishra

et al. 2021

J. High Energ. Phys.

116

141

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We study the AdS/BCFT duality between two-dimensional conformal field theories with two boundaries and three-dimensional anti-de Sitter space with two Karch-Randall branes. We compute the entanglement entropy of a bipartition of the BCFT, on both the gravity side and the field theory side. At finite temperature this entanglement entropy characterizes the communication between two braneworld black holes, coupled to each other through a common bath. We find a Page curve consistent with unitarity. The gravitational result, computed using double-holographically realized quantum extremal surfaces, matches the conformal field theory calculation.At zero temperature, we obtain an interesting extension of the AdS3/BCFT2 correspondence. For a central charge c, we find a gap $$ \left(\frac{c}{16},\frac{c}{12}\right) $$ c 16 c 12 in the spectrum of the scaling dimension ∆bcc of the boundary condition changing operator (which interpolates mismatched boundary conditions on the two boundaries of the BCFT). Depending on the value of ∆bcc, the gravitational dual is either a defect global AdS3 geometry or a single sided black hole, and in both cases there are two Karch-Randall branes.

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Section: Jhep08(2021)003mentioning

confidence: 99%

“…It would be interesting to better understand the connection between the two approaches. 18 During the final stages of our work, reference [86] appeared, which studies some aspects of the bootstrap constraint we propose here.…”

Section: Jhep08(2021)003mentioning

confidence: 99%

Holographic BCFTs and communicating black holes

Geng

Lüst

Mishra

et al. 2021

J. High Energ. Phys.

116

141

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“…Most work on islands in higher dimensions [9,[12][13][14][15][16][22][23][24][25][26], as well as some of the results in lower dimensions [27][28][29][30][31][32], have been obtained in the context of the Randall-Sundrum (RS) braneworlds [33] with subcritical tension branes [34,35], also known as the Karch-Randall (KR) braneworlds. Compared to the generic RS setup, KR has several specific features.…”

Section: Introductionmentioning

confidence: 99%

Information transfer with a gravitating bath

et al. 2021

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Late-time dominance of entanglement islands plays a critical role in addressing the information paradox for black holes in AdS coupled to an asymptotic non-gravitational bath. A natural question is how this observation can be extended to gravitational systems. To gain insight into this question, we explore how this story is modified within the context of Karch-Randall braneworlds when we allow the asymptotic bath to couple to dynamical gravity. We find that because of the inability to separate degrees of freedom by spatial location when defining the radiation region, the entanglement entropy of radiation emitted into the bath is a time-independent constant, consistent with recent work on black hole information in asymptotically flat space. If we instead consider an entanglement entropy between two sectors of a specific division of the Hilbert space, we then find non-trivial time-dependence, with the Page time a monotonically decreasing function of the brane angle---provided both branes are below a particular angle. However, the properties of the entropy depend discontinuously on this angle, which is the first example of such discontinuous behavior for an AdS brane in AdS space.

show abstract

“…Most work on islands in higher dimensions [8,[11][12][13][14][15][21][22][23][24][25], as well as some of the results in lower dimensions [26][27][28][29], have been obtained in the context of the Randall-Sundrum (RS) braneworlds [30] with subcritical tension branes [31,32], also known as the Karch-Randall (KR) braneworlds. Compared to the generic RS setup, KR has several specific features.…”

Section: Introductionmentioning

confidence: 99%

Information Transfer with a Gravitating Bath

Geng,

Karch,

Perez-Pardavila

et al. 2020

Preprint

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Late-time dominance of entanglement islands plays a critical role in addressing the information paradox for black holes in AdS coupled to an asymptotic non-gravitational bath. A natural question is how this observation can be extended to gravitational systems. To gain insight into this question, we explore how this story is modified within the context of Karch-Randall braneworlds when we allow the asymptotic bath to couple to dynamical gravity. We find that because of the inability to separate degrees of freedom by spatial location when defining the radiation region, the entanglement entropy of radiation emitted into the bath is a time-independent constant, consistent with recent work on black hole information in asymptotically flat space. If we instead consider an entanglement entropy between two sectors of a specific division of the Hilbert space, we then find non-trivial time-dependence, with the Page time a monotonically decreasing function of the brane angle-provided both branes are below a particular angle. However, the properties of the entropy depend discontinuously on this angle, which is the first example of such discontinuous behavior for an AdS brane in AdS space.

show abstract

Entanglement entropy inequalities in BCFT by holography

Cited by 5 publications

References 33 publications

Holographic BCFTs and communicating black holes

Holographic BCFTs and communicating black holes

Information transfer with a gravitating bath

Information Transfer with a Gravitating Bath

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