On the dynamics in the AdS/BCFT correspondence

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 AdS d+1 spacetime with d ≥ 3. We obtain the mode expansion of the perturbations explicitly for the tensio...

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Main Authors: Yu-ki Suzuki, Seiji Terashima
Format: Article
Language:English
Published: SpringerOpen 2022-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP09(2022)103
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author Yu-ki Suzuki
Seiji Terashima
author_facet Yu-ki Suzuki
Seiji Terashima
author_sort Yu-ki Suzuki
collection DOAJ
description 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 AdS d+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.
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spelling doaj.art-4d1bdace6626469e9a29f4b0ccb758612022-12-22T02:04:32ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022912710.1007/JHEP09(2022)103On the dynamics in the AdS/BCFT correspondenceYu-ki Suzuki0Seiji Terashima1Center for Gravitational Physics and Quantum Information (CGPQI), Yukawa Institute for Theoretical Physics, Kyoto UniversityCenter for Gravitational Physics and Quantum Information (CGPQI), Yukawa Institute for Theoretical Physics, Kyoto UniversityAbstract 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 AdS d+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.https://doi.org/10.1007/JHEP09(2022)103AdS-CFT CorrespondenceGauge-Gravity CorrespondenceSpace-Time Symmetries
spellingShingle Yu-ki Suzuki
Seiji Terashima
On the dynamics in the AdS/BCFT correspondence
Journal of High Energy Physics
AdS-CFT Correspondence
Gauge-Gravity Correspondence
Space-Time Symmetries
title On the dynamics in the AdS/BCFT correspondence
title_full On the dynamics in the AdS/BCFT correspondence
title_fullStr On the dynamics in the AdS/BCFT correspondence
title_full_unstemmed On the dynamics in the AdS/BCFT correspondence
title_short On the dynamics in the AdS/BCFT correspondence
title_sort on the dynamics in the ads bcft correspondence
topic AdS-CFT Correspondence
Gauge-Gravity Correspondence
Space-Time Symmetries
url https://doi.org/10.1007/JHEP09(2022)103
work_keys_str_mv AT yukisuzuki onthedynamicsintheadsbcftcorrespondence
AT seijiterashima onthedynamicsintheadsbcftcorrespondence