On Holographic Defect Entropy

Estes, John; Jensen, Kristan; O'Bannon, Andy; Tsatis, Efstratios; Wrase, Timm

doi:10.48550/arxiv.1403.6475

Cited by 17 publications

(36 citation statements)

References 76 publications

(234 reference statements)

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“…The drawback is that these supergravity solutions are considerably more complicated than their artificial bottom-up relatives. In particular, most holographic computations conducted to date with top-down solutions have focused on boundary or entanglement entropy [34,36,44,45,46,47], for which there exist a simple holographic prescription due to Ryu and Takayanagi [48] (see also [49,50,51] for non-supersymmetric examples). It seems particularly difficult to extract any correlation function whose form is not completely fixed by the residual defect conformal symmetry.…”

Section: Introductionmentioning

confidence: 99%

Holographic two-point functions for Janus interfaces in the D1/D5 CFT

Chiodaroli¹,

Estes²,

Korovin³

2017

J. High Energ. Phys.

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This paper investigates scalar perturbations in the top-down supersymmetric Janus solutions dual to conformal interfaces in the D1/D5 CFT, finding analytic closedform solutions. We obtain an explicit representation of the bulk-to-bulk propagator and extract the two-point correlation function of the dual operator with itself, whose form is not fixed by symmetry alone. We give an expression involving the sum of conformal blocks associated with the bulk-defect operator product expansion and briefly discuss finitetemperature extensions. To our knowledge, this is the first computation of a two-point function which is not completely determined by symmetry for a fully-backreacted, topdown holographic defect.

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Section: Introductionmentioning

confidence: 99%

Holographic two-point functions for Janus interfaces in the D1/D5 CFT

Chiodaroli¹,

Estes²,

Korovin³

2017

J. High Energ. Phys.

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“…2 The AdS/BCFT has been applied to many problems. This includes the studied of renormalization group flow [61][62][63][64], applications to models in condensed matter physics or statistical mechanics [65][66][67][68][69][70][71][72][73], and to computational complexity [74][75][76][77]. Refer also to [78][79][80][81][82][83][84] for string theory embeddings, to [85][86][87][88] for application to cosmological models and to [89,90] for higher codimension holography.…”

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confidence: 99%

BCFT and Islands in Two Dimensions

Suzuki,

Takayanagi

2022

Preprint

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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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“…Another holographic observable which can be calculated is the entanglement entropy in the presence of a defect (see e.g. [36][37][38][39]). General arguments relate this quantity to the ones already calculated in this section.…”

Section: Stress Tensor and Currentsmentioning

confidence: 99%

A note on co-dimension 2 defects in N=4,d=7 gauged supergravity

Gutperle,

Klein

2022

Preprint

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In this note we present a solution of N = 4, d = 7 gauged supergravity which is holographically dual to a co-dimension two defect living in a six dimensional SCFT. The solution is obtained by double analytic continuation of a two charge supersymmetric black hole solution. The condition that no conical deficits are present in the bulk and on the boundary is satisfied by a one parameter family of solutions for which some holographic observables are computed.

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On Holographic Defect Entropy

Cited by 17 publications

References 76 publications

Holographic two-point functions for Janus interfaces in the D1/D5 CFT

Holographic two-point functions for Janus interfaces in the D1/D5 CFT

BCFT and Islands in Two Dimensions

A note on co-dimension 2 defects in N=4,d=7 gauged supergravity

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