Codimension two holography for wedges

Akal, Ibrahim; Kusuki, Yuya; Takayanagi, Tadashi; Wei, Zixia

doi:10.48550/arxiv.2007.06800

Cited by 17 publications

(39 citation statements)

References 66 publications

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“…The fact that we should allow such connected brane configurations gives us another piece of evidence that bra-ket wormholes should be included. Similar constructions were discussed in [42][43][44].…”

Section: The Doubly Holographic Setupmentioning

confidence: 59%

Bra-ket wormholes in gravitationally prepared states

Chen,

Gorbenko,

Maldacena

2020

Preprint

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We consider two dimensional CFT states that are produced by a gravitational path integral.As a first case, we consider a state produced by Euclidean AdS 2 evolution followed by flat space evolution. We use the fine grained entropy formula to explore the nature of the state. We find that the naive hyperbolic space geometry leads to a paradox. This is solved if we include a geometry that connects the bra with the ket, a bra-ket wormhole. The semiclassical Lorentzian interpretation leads to CFT state entangled with an expanding and collapsing Friedmann cosmology.As a second case, we consider a state produced by Lorentzian dS 2 evolution, again followed by flat space evolution. The most naive geometry also leads to a similar paradox. We explore several possible bra-ket wormholes. The most obvious one leads to a badly divergent temperature. The most promising one also leads to a divergent temperature but by making a projection onto low energy states we find that it has features that look similar to the previous Euclidean case. In particular, the maximum entropy of an interval in the future is set by the de Sitter entropy.

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Section: The Doubly Holographic Setupmentioning

confidence: 59%

Bra-ket wormholes in gravitationally prepared states

Chen,

Gorbenko,

Maldacena

2020

Preprint

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“…In other words, at the first-order perturbation, curvature-squared gravity and Gauss-Bonnet gravity have the same EOM ( + 2)δg µν = 0 and the same boundary condition (18). As a result, the A-type boundary central charge (24), the one point function of stress tensor (31) and the holographic g-function (46,51) are exactly the same for curvature-squared gravity and Gauss-Bonnet gravity 6 . In particular, the holographic g-theorem is obeyed by general curvature-squared gravity, provided that the boundary conditions (67,68) are imposed.…”

Section: Resolution Imentioning

confidence: 94%

“…Here BCFT means a conformal field theory defined on a manifold with a boundary, where suitable boundary conditions are imposed [44,45]. Recently, a novel doubly holographic model called wedge holography has been proposed [46]. Remarkably, the effective theory of wedge holography on the brane is a ghost-free higher derivative gravity, which includes a massless mode and behaves like Einstein gravity in many aspects [47].…”

Section: Introductionmentioning

confidence: 99%

AdS/BCFT and Island for curvature-squared gravity

Hu¹,

Li²,

Miao³

et al. 2022

Preprint

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In this paper, we investigate AdS/BCFT for curvature-squared gravity. To warm up, we start with Gauss-Bonnet gravity. We derive the one point function of stress tensor and show that the central charge related to the norm of displacement operator is positive for the couplings obeying causality constraints. Furthermore, by imposing the null energy condition on the end-of-the-world brane, we prove the holographic g-theorem for Gauss-Bonnet gravity. This corrects a wrong point of view in the literature, which claims that the holographic g-theorem is violated for Gauss-Bonnet gravity. We also study AdS/BCFT for general curvature-squared gravity. We find that it is too restrictive for the shape of the brane and the dual BCFT is trivial if one imposes Neumann boundary conditions for all of the gravitational modes. Instead, we propose to impose Dirichlet boundary condition for the massive graviton, while imposing Neumann boundary condition for the massless graviton. In this way, we obtain non-trivial shape dependence of stress tensor and well-defined central charges. In particular, the holographic g-theorem is satisfied by general curvature-squared gravity. Finally, we discuss the island and show that the Page curve can be recovered for Gauss-Bonnet gravity. Interestingly, there are first-order phase transitions for the Page curve within one range of couplings obeying causality constraints. Generalizing the discussions to holographic complexity, we get a new constraint for the Gauss-Bonnet coupling, which is stronger than the causality constraint.

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“…The setup we are imagining is a CFT on an interval with boundary conditions a and b. Holographic duals of these setups were considered e.g. in [106], which can be seen as a wedge holography with a regularization [107]. We take two operators Ψ ab , Ψ ac with heavy dimensions h 1 , h 2 scaling with c, to correspond to black hole states, but with h 1 − h 2 fixed as c → ∞.…”

Section: Spectral Density Of Black Holesmentioning

confidence: 99%

Universal Dynamics of Heavy Operators in Boundary CFT$_2$

Numasawa,

Tsiares

2022

Preprint

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We derive a universal asymptotic formula for generic boundary conditions for the average value of the bulk-to-boundary and boundary Operator Product Expansion coefficients of any unitary, compact two-dimensional Boundary CFT (BCFT) with c > 1. The asymptotic limit consists of taking one or more boundary primary operators -which transform under a single copy of the Virasoro algebra -to have parametrically large conformal dimension for fixed central charge. In particular, we find a single universal expression that interpolates between distinct heavy regimes, exactly as in the case of bulk OPE asymptotics [1]. The expression depends universally on the boundary entropy and the central charge, and not on any other details of the theory. We derive these aymptotics by studying crossing symmetry of various correlation functions on higher genus Riemann surfaces with open boundaries. Essential in the derivation is the use of the irrational versions of the crossing kernels that relate holomorphic Virasoro blocks in different channels. Our results strongly suggest an extended version of the Eigenstate Thermalization Hypothesis for boundary OPE coefficients, where the hierarchy between the diagonal and non-diagonal term in the ansatz is further controlled by the boundary entropy. We finally comment on the applications of our results in the context of AdS 3 /BCFT 2 , as well as on the recent relation of BCFT's with lower dimensional models of evaporating black holes.

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Codimension two holography for wedges

Cited by 17 publications

References 66 publications

Bra-ket wormholes in gravitationally prepared states

Bra-ket wormholes in gravitationally prepared states

AdS/BCFT and Island for curvature-squared gravity

Universal Dynamics of Heavy Operators in Boundary CFT$_2$

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