Structure of holographic BCFT correlators from geodesics

Kastikainen, Jani; Shashi, Sanjit

doi:10.1103/physrevd.105.046007

Cited by 17 publications

(17 citation statements)

References 74 publications

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“…We also write the overall normalization as N . Below we will see that in order to reproduce this non-vanishing one-point function, we need to consider a bulk gravity solution with a non-trivial expectation value of a bulk scalar (see also earlier work [61,109]). Moreover, we need to explain the non-vanishing one point function from the 2d gravity picture to justify the Island/BCFT correspondence.…”

Section: Ads/bcft and One Point Functionmentioning

confidence: 99%

BCFT and Islands in two dimensions

Suzuki

Takayanagi

2022

J. High Energ. Phys.

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By combining the AdS/BCFT correspondence and the brane world holography, we expect an equivalence relation between a boundary conformal field theory (BCFT) and a gravitational system coupled to a CFT. However, it still remains unclear how the boundary condition of the BCFT is translated in the gravitational system. We examine this duality relation in a two-dimensional setup by looking at the computation of entanglement entropy and energy flux conservation. We also identify the two-dimensional gravity which is dual to the boundary dynamics of a BCFT. Moreover, we show that by considering a gravity solution with scalar fields turned on, we can reproduce one point functions correctly in the AdS/BCFT.

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Section: Ads/bcft and One Point Functionmentioning

confidence: 99%

BCFT and Islands in two dimensions

Suzuki

Takayanagi

2022

J. High Energ. Phys.

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“…Thus, we have a question, which boundary condition can have a good classical gravity description. To answer this question, it is natural to use the bootstrap equation with few known constraints from the consistency between BCFT calculations and gravity calculations (e.g., [97]). It would be interesting to further explore this direction.…”

Section: Jhep03(2022)161mentioning

confidence: 99%

Analytic bootstrap in 2D boundary conformal field theory: towards braneworld holography

Kusuki

2022

J. High Energ. Phys.

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Recently, boundary conformal field theories (BCFTs) have attracted much attention in the context of quantum gravity. This is because a BCFT can be dual to gravity coupled to a heat bath CFT, known as the island model. On this background, it would be interesting to explore the duality between the boundary and the braneworld. However, this seems to be a challenging problem. The reason is because although there has been much study of rational BCFTs, there has been comparatively little study of irrational BCFTs, and irrational BCFTs are expected to be the boundary duals of the braneworlds. For this reason, we explore properties of boundary ingredients: the boundary primary spectrum, the boundary-boundary-boundary OPE coefficients and the bulk-boundary OPE coefficients. For this purpose, the conformal bootstrap is extremely useful. This is the first step in providing an understanding of BCFTs in the context of braneworld holography by using the conformal bootstrap. The techniques developed in this paper may be useful for further investigation of irrational BCFTs.

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“…Analogously to the rules familiar from the usual AdS/CFT dictionary, the setup can be generalised beyond the simple gluing condition (3.15). We could have considered adding scalar field self-interactions localized on the brane, as was considered in [58]. For instance, we could add to the effective action for the field φ a polynomial term of the form…”

Section: Scalar Field On a Thin-brane Backgroundmentioning

confidence: 99%

Sailing past the End of the World and discovering the Island

et al. 2022

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Large black holes in anti-de Sitter space have positive specific heat and do not evaporate. In order to mimic the behavior of evaporating black holes, one may couple the system to an external bath. In this paper we explore a rich family of such models, namely ones obtained by coupling two holographic CFTs along a shared interface (ICFTs). We focus on the limit where the bulk solution is characterized by a thin brane separating the two individual duals. These systems may be interpreted in a double holographic way, where one integrates out the bath and ends up with a lower-dimensional gravitational braneworld dual to the interface degrees of freedom. Our setup has the advantage that all observables can be defined and calculated by only relying on standard rules of AdS/CFT. We exploit this to establish a number of general results, relying on a detailed analysis of the geodesics in the bulk. Firstly, we prove that the entropy of Hawking radiation in the braneworld is obtained by extremizing the generalized entropy, and moreover that at late times a so-called `island saddle' gives the dominant contribution. We also derive Takayanagi's prescription for calculating entanglement entropies in BCFTs as a limit of our ICFT results.

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Structure of holographic BCFT correlators from geodesics

Cited by 17 publications

References 74 publications

BCFT and Islands in two dimensions

BCFT and Islands in two dimensions

Analytic bootstrap in 2D boundary conformal field theory: towards braneworld holography

Sailing past the End of the World and discovering the Island

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