On the Dynamics in the AdS/BCFT Correspondence
arXiv:2205.10600 · doi:10.1007/JHEP09(2022)103
Abstract
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 spaectime where d is larger than 2. 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.
arXiv comment29 pages
References in corpus (27)
- Average Entropy of a Subsystem
- Heat kernel expansion: user's manual
- Replica Wormholes and the Entropy of Hawking Radiation
- Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries
- Holographic Dual of BCFT
- Holographic representation of local bulk operators
- Aspects of AdS/BCFT
- Conformal Field Theories Near a Boundary in General Dimensions
- Dynamics in Non-Globally-Hyperbolic Static Spacetimes III: Anti-de Sitter Spacetime
- Central Charges for BCFTs and Holography
- On the construction of local fields in the bulk of AdS_5 and other spaces
- Holographic representation of bulk fields with spin in AdS/CFT
- BCFT and Islands in Two Dimensions
- Construction of Bulk Fields with Gauge Redundancy
- On boundary value problems for Einstein metrics
- A New Proposal for Holographic BCFT
- Consistent boundary conditions for supergravity
- Analytic Bootstrap in 2D Boundary Conformal Field Theory: Towards Braneworld Holography
- AdS/CFT Correspondence in Operator Formalism
- Conformal Boundary Condition and Massive Gravitons in AdS/BCFT
- Holographic quantization of gravity in a black hole background
- Bulk Locality in AdS/CFT Correspondence
- Universal Dynamics of Heavy Operators in Boundary CFT
- Holographic Coarse-Graining: Correlators from the Entanglement Wedge and Other Reduced Geometries
- Classical Limit of Large N Gauge Theories with Conformal Symmetry
- The Conformal Anomaly in bCFT from Momentum Space Perspective
- One-Loop Correction to the AdS/BCFT Partition Function in the Three Dimensional Pure Gravity
Cited by in corpus (11)
- Aspects of AdS Quantum Gravity and the Karch-Randall Braneworld
- AdS/BCFT with Brane-Localized Scalar Field
- Time-like Entanglement Entropy in AdS/BCFT
- Brane Dynamics of Holographic BCFTs
- JT Gravity from Partial Reduction and Defect Extremal Surface
- Ownerless island and partial entanglement entropy in island phases
- AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles
- Black holes Entangled by Radiation
- Entanglement inside a black hole before the Page time
- Information metric on the boundary
- Boundary mutual information in double holography