Causal structures and nonlocality in double holography

Omiya, Hidetoshi; Wei, Zixia

doi:10.1007/jhep07(2022)128

Cited by 25 publications

(20 citation statements)

References 81 publications

(172 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This difference leads to the fact that the one-point function of a non-scalar primary must be zero, while that of a scalar primary can be non-zero. 15…”

Section: Vanishing One-point Function From Brane Mismatchmentioning

confidence: 99%

AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles

Kusuki¹,

Wei²

2022

Preprint

View full text Add to dashboard Cite

We initiate a conformal bootstrap program to study AdS 3 /BCFT 2 with heavy excitations. We start by solving the bootstrap equations associated with two-point functions of scalar/non-scalar primaries under the assumption that one-point functions vanish. These correspond to gravity with a brane and a non-spinning/spinning particle where the brane and the particle do not intersect with each other. From the bootstrap equations, we obtain the energy spectrum and the modified black hole threshold. We then carefully analyze the gravity duals and find the results perfectly match the BCFT analysis. In particular, brane self-intersections, which are usually considered to be problematic, are nicely avoided by the black hole formation. Despite the assumption to solve the bootstrap equations, one-point functions of scalar primaries can be non-zero in general. We construct the holographic dual for a non-vanishing one-point function, in which the heavy particle can end on the brane, by holographically computing the Rényi entropy in AdS/BCFT. As a bonus, we find a refined formula for the holographic Rényi entropy, which appears to be crucial to correctly reproduce the boundary entropy term. On the other hand, we explain why one-point functions of non-scalar primaries always vanish from the gravity dual. The independence of the bootstrap equations to the boundary entropy helps us to construct gravity duals with negative tension branes. We also find a holographic dual of boundary primaries.

show abstract

“…This difference leads to the fact that the one-point function of a non-scalar primary must be zero, while that of a scalar primary can be non-zero. 15…”

Section: Vanishing One-point Function From Brane Mismatchmentioning

confidence: 99%

AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles

Kusuki¹,

Wei²

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…However, causality in these "higher-derivative" theories need not be the same as in Einstein gravity, in that the fastest causal modes may not be lightlike but rather superluminal [36,37], so causal structures often need to be reformulated. Fortunately, this is not a problem if we only have higher-derivative terms localized to the brane [38,39].…”

Section: Introductionmentioning

confidence: 99%

Information transfer with a gravitating bath

et al. 2021

View full text Add to dashboard Cite

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

“…For this purpose, we probably need a coupling to brane-localized fields or currents, as in the scalar field cases studied in [23,49,50]. Also from the perspective of causality [51,52], such brane-localized fields are perhaps necessary in the AdS/BCFT setup.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

On the dynamics in the AdS/BCFT correspondence

Suzuki

Terashima

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

We consider a perturbation of the Einstein gravity with the Neumann boundary condition, which is regarded as an end of the world brane (ETW brane) of the AdS/BCFT correspondence, in the AdSd+1 spacetime with d ≥ 3. We obtain the mode expansion of the perturbations explicitly for the tensionless ETW brane case.We also show that the energy-momentum tensor in a d-dimensional BCFT should satisfy nontrivial constraints other than the ones for the boundary conformal symmetry if the BCFT can couple to a d-dimensional gravity with a specific boundary condition, which can be the Neumann or the conformally Dirichlet boundary conditions. We find these constraints are indeed satisfied for the free scalar BCFT. For the BCFT in the AdS/BCFT, we find that the BCFT can couple to the gravity with the Neumann boundary condition for the tensionless brane, but the BCFT can couple to the gravity with the conformally Dirichlet boundary condition for the nonzero tension brane by using holographic relations.

show abstract

Causal structures and nonlocality in double holography

Cited by 25 publications

References 81 publications

AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles

AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles

Information transfer with a gravitating bath

On the dynamics in the AdS/BCFT correspondence

Contact Info

Product

Resources

About