The On-shell Gravity Action and Linear Dilaton Holography
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914014227857408 |
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| author | Dei, Andrea Naderi, Kiarash Sethi, Savdeep |
| author_facet | Dei, Andrea Naderi, Kiarash Sethi, Savdeep |
| contents | Computing the Euclidean spacetime action on-shell provides a useful way of both testing holographic proposals and determining the string theory sphere partition function. We consider families of three-dimensional linear dilaton spacetimes for which there are holographic proposals that share features of a $T\overline{T}$-deformed CFT. We extend the holographic renormalization program beyond AdS to this class of geometries by identifying the boundary terms needed for a well-defined variational principle and a finite on-shell action. We show that the spacetime energy or mass determined from the on-shell action matches the $T\overline{T}$-deformed two-dimensional CFT energy. This provides more evidence for the role of the $T\overline{T}$ deformation in this holographic correspondence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10998 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The On-shell Gravity Action and Linear Dilaton Holography Dei, Andrea Naderi, Kiarash Sethi, Savdeep High Energy Physics - Theory General Relativity and Quantum Cosmology Computing the Euclidean spacetime action on-shell provides a useful way of both testing holographic proposals and determining the string theory sphere partition function. We consider families of three-dimensional linear dilaton spacetimes for which there are holographic proposals that share features of a $T\overline{T}$-deformed CFT. We extend the holographic renormalization program beyond AdS to this class of geometries by identifying the boundary terms needed for a well-defined variational principle and a finite on-shell action. We show that the spacetime energy or mass determined from the on-shell action matches the $T\overline{T}$-deformed two-dimensional CFT energy. This provides more evidence for the role of the $T\overline{T}$ deformation in this holographic correspondence. |
| title | The On-shell Gravity Action and Linear Dilaton Holography |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2508.10998 |