The GHY boundary term from the string worldsheet to linear order
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912113161666560 |
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| author | Ahmadain, Amr Akhtar, Shoaib Khan, Rifath |
| author_facet | Ahmadain, Amr Akhtar, Shoaib Khan, Rifath |
| contents | Using the method of images we derive the boundary term of the Einstein-$Γ^2$ action in half-space from the spherical worldsheet to first order in $α'$ and to linear order in the metric perturbation around flat half-space. The $Γ^2$ action, written down by Einstein more than 100 years ago, includes a boundary term that consists of the Gibbons-Hawking-York action along with two additional terms that are functions of the metric, normal vector, and tangential derivatives. With this boundary term, the total (bulk + boundary) sphere effective action has a well-posed variational principle for Dirichlet boundary conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06400 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The GHY boundary term from the string worldsheet to linear order Ahmadain, Amr Akhtar, Shoaib Khan, Rifath High Energy Physics - Theory Using the method of images we derive the boundary term of the Einstein-$Γ^2$ action in half-space from the spherical worldsheet to first order in $α'$ and to linear order in the metric perturbation around flat half-space. The $Γ^2$ action, written down by Einstein more than 100 years ago, includes a boundary term that consists of the Gibbons-Hawking-York action along with two additional terms that are functions of the metric, normal vector, and tangential derivatives. With this boundary term, the total (bulk + boundary) sphere effective action has a well-posed variational principle for Dirichlet boundary conditions. |
| title | The GHY boundary term from the string worldsheet to linear order |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.06400 |