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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Format: | Article |
Language: | English |
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SpringerOpen
2022-09-01
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Series: | Journal of High Energy Physics |
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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. |
first_indexed | 2024-04-14T08:11:41Z |
format | Article |
id | doaj.art-4d1bdace6626469e9a29f4b0ccb75861 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-04-14T08:11:41Z |
publishDate | 2022-09-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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 |