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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.21176 |
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| _version_ | 1866929651954221056 |
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| author | Georgescu, Silvia Guica, Monica |
| author_facet | Georgescu, Silvia Guica, Monica |
| contents | The $J\bar T$ deformation is a fully tractable irrelevant deformation of two-dimensional CFTs, which yields a UV-complete QFT that is local and conformal along one lightlike direction and non-local along the remaining one. Such QFTs are interesting, in particular, as toy models for the holographic dual to (near)-extremal black holes. Despite its non-locality, the deformed theory has been shown to posess a (Virasoro-Kac-Moody)$^2$ symmetry algebra, whose action on the non-local side is non-standard. In this article we present, in a unified way, three different perspectives on the classical symmetries of $J\bar T$ - deformed CFTs: Hamiltonian, Lagrangian and holographic, showing how the peculiar action of the symmetries can be recovered in each of them. The perfect match we obtain between the Lagrangian and holographic results constitutes a precision check of the holographic dictionary proposed in [1], which we slightly generalize and improve. We also comment on the interpretation of the Compère-Song-Strominger boundary conditions from the $J\bar T$ viewpoint. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_21176 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classical $J\bar T$ symmetries -- three ways -- and a precision holography check Georgescu, Silvia Guica, Monica High Energy Physics - Theory The $J\bar T$ deformation is a fully tractable irrelevant deformation of two-dimensional CFTs, which yields a UV-complete QFT that is local and conformal along one lightlike direction and non-local along the remaining one. Such QFTs are interesting, in particular, as toy models for the holographic dual to (near)-extremal black holes. Despite its non-locality, the deformed theory has been shown to posess a (Virasoro-Kac-Moody)$^2$ symmetry algebra, whose action on the non-local side is non-standard. In this article we present, in a unified way, three different perspectives on the classical symmetries of $J\bar T$ - deformed CFTs: Hamiltonian, Lagrangian and holographic, showing how the peculiar action of the symmetries can be recovered in each of them. The perfect match we obtain between the Lagrangian and holographic results constitutes a precision check of the holographic dictionary proposed in [1], which we slightly generalize and improve. We also comment on the interpretation of the Compère-Song-Strominger boundary conditions from the $J\bar T$ viewpoint. |
| title | Classical $J\bar T$ symmetries -- three ways -- and a precision holography check |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.21176 |