Holographic BCFT with Dirichlet boundary condition
Abstract Neumann boundary condition plays an important role in the initial proposal of holographic dual of boundary conformal field theory, which has yield many interesting results and passed several non-trivial tests. In this paper, we show that Dirichlet boundary condition works as well as Neumann...
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doaj-1f8d9e1c7dee45fb9eb8932a1188ca232020-11-25T02:10:38ZengSpringerOpenJournal of High Energy Physics1029-84792019-02-012019212710.1007/JHEP02(2019)025Holographic BCFT with Dirichlet boundary conditionRong-Xin Miao0School of Physics and Astronomy, Sun Yat-Sen UniversityAbstract Neumann boundary condition plays an important role in the initial proposal of holographic dual of boundary conformal field theory, which has yield many interesting results and passed several non-trivial tests. In this paper, we show that Dirichlet boundary condition works as well as Neumann boundary condition. For instance, it includes AdS solution and obeys the g-theorem. Furthermore, it can produce the correct expression of one point function, the boundary Weyl anomaly and the universal relations between them. We also study the relative boundary condition for gauge fields, which is the counterpart of Dirichlet boundary condition for gravitational fields. Interestingly, the four-dimensional Reissner-Nordström black hole with magnetic charge is an exact solution to relative boundary condition under some conditions. This holographic model predicts that a constant magnetic field in the bulk can induce a constant current on the boundary in three dimensions. We suggest to measure this interesting boundary current in materials such as the graphene.http://link.springer.com/article/10.1007/JHEP02(2019)025AdS-CFT CorrespondenceClassical Theories of Gravity |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Rong-Xin Miao |
spellingShingle |
Rong-Xin Miao Holographic BCFT with Dirichlet boundary condition Journal of High Energy Physics AdS-CFT Correspondence Classical Theories of Gravity |
author_facet |
Rong-Xin Miao |
author_sort |
Rong-Xin Miao |
title |
Holographic BCFT with Dirichlet boundary condition |
title_short |
Holographic BCFT with Dirichlet boundary condition |
title_full |
Holographic BCFT with Dirichlet boundary condition |
title_fullStr |
Holographic BCFT with Dirichlet boundary condition |
title_full_unstemmed |
Holographic BCFT with Dirichlet boundary condition |
title_sort |
holographic bcft with dirichlet boundary condition |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2019-02-01 |
description |
Abstract Neumann boundary condition plays an important role in the initial proposal of holographic dual of boundary conformal field theory, which has yield many interesting results and passed several non-trivial tests. In this paper, we show that Dirichlet boundary condition works as well as Neumann boundary condition. For instance, it includes AdS solution and obeys the g-theorem. Furthermore, it can produce the correct expression of one point function, the boundary Weyl anomaly and the universal relations between them. We also study the relative boundary condition for gauge fields, which is the counterpart of Dirichlet boundary condition for gravitational fields. Interestingly, the four-dimensional Reissner-Nordström black hole with magnetic charge is an exact solution to relative boundary condition under some conditions. This holographic model predicts that a constant magnetic field in the bulk can induce a constant current on the boundary in three dimensions. We suggest to measure this interesting boundary current in materials such as the graphene. |
topic |
AdS-CFT Correspondence Classical Theories of Gravity |
url |
http://link.springer.com/article/10.1007/JHEP02(2019)025 |
work_keys_str_mv |
AT rongxinmiao holographicbcftwithdirichletboundarycondition |
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