Setting $T^2$ free for braneworld holography
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914202346586112 |
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| author | Callebaut, Nele Selle, Matteo |
| author_facet | Callebaut, Nele Selle, Matteo |
| contents | We identify what has been referred to as 'cut-off CFT' in holographic braneworld with $T^2$ or $T\bar T$ theory (depending on the dimension of the bulk), so that the holographic dual of AdS-gravity with Neumann boundary conditions is a $T^2$-deformed CFT that is set free. After making statements that apply for general dimensions higher than three, we focus on the case of a three-dimensional bulk. We find from bulk arguments that the effective theory on the brane is governed by a $T\bar T$-like flow equation, such that under certain assumptions the effective gravity theory on the brane is given by a $T\bar T$-like deformed timelike Liouville theory, which limits to the description of the holographic Weyl anomaly for branes that approach the asymptotic boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_01099 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Setting $T^2$ free for braneworld holography Callebaut, Nele Selle, Matteo High Energy Physics - Theory General Relativity and Quantum Cosmology We identify what has been referred to as 'cut-off CFT' in holographic braneworld with $T^2$ or $T\bar T$ theory (depending on the dimension of the bulk), so that the holographic dual of AdS-gravity with Neumann boundary conditions is a $T^2$-deformed CFT that is set free. After making statements that apply for general dimensions higher than three, we focus on the case of a three-dimensional bulk. We find from bulk arguments that the effective theory on the brane is governed by a $T\bar T$-like flow equation, such that under certain assumptions the effective gravity theory on the brane is given by a $T\bar T$-like deformed timelike Liouville theory, which limits to the description of the holographic Weyl anomaly for branes that approach the asymptotic boundary. |
| title | Setting $T^2$ free for braneworld holography |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2510.01099 |