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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.13873 |
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| _version_ | 1866916849899274240 |
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| author | Belaey, Andreas Mertens, Thomas G. Papalini, Jacopo |
| author_facet | Belaey, Andreas Mertens, Thomas G. Papalini, Jacopo |
| contents | We study the emergence of $q$-deformed spacetime in a lower-dimensional gravitational system whose asymptotic region geometrizes the global symmetry of a $q$-deformed CFT. More precisely, we consider the 2d sinh dilaton gravity model, whose classical metric solutions exhibit a curvature singularity at the holographic boundary. Our aim is to probe this UV near-boundary regime by injecting a small probe into the bulk, and identifying the geometrical features it observes. At the level of the two-point correlator, we see the emergence of $q$-deformed hyperbolic disk isometries. By formulating DSSYK in terms of the analogous sine dilaton gravity model, we expect this $q$-deformed holographic duality to persist. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13873 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Probing the singularity at the holographic screen via $q$-holography Belaey, Andreas Mertens, Thomas G. Papalini, Jacopo High Energy Physics - Theory We study the emergence of $q$-deformed spacetime in a lower-dimensional gravitational system whose asymptotic region geometrizes the global symmetry of a $q$-deformed CFT. More precisely, we consider the 2d sinh dilaton gravity model, whose classical metric solutions exhibit a curvature singularity at the holographic boundary. Our aim is to probe this UV near-boundary regime by injecting a small probe into the bulk, and identifying the geometrical features it observes. At the level of the two-point correlator, we see the emergence of $q$-deformed hyperbolic disk isometries. By formulating DSSYK in terms of the analogous sine dilaton gravity model, we expect this $q$-deformed holographic duality to persist. |
| title | Probing the singularity at the holographic screen via $q$-holography |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.13873 |