Quantum Extremal Modular Curvature: Modular Transport with Islands
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917717359984640 |
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| author | Aalsma, Lars Keeler, Cynthia Zukowski, Claire |
| author_facet | Aalsma, Lars Keeler, Cynthia Zukowski, Claire |
| contents | Modular Berry transport is a useful way to understand how geometric bulk information is encoded in the boundary CFT: The modular curvature is directly related to the bulk Riemann curvature. We extend this approach by studying modular transport in the presence of a non-trivial quantum extremal surface. Focusing on JT gravity on an AdS background coupled to a non-gravitating bath, we compute the modular curvature of an interval in the bath in the presence of an island: the Quantum Extremal Modular Curvature (QEMC). We highlight some important properties of the QEMC, most importantly that it is non-local in general. In an OPE limit, the QEMC becomes local and probes the bulk Riemann curvature in regions with an island. Our work gives a new approach to probe physics behind horizons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05176 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Extremal Modular Curvature: Modular Transport with Islands Aalsma, Lars Keeler, Cynthia Zukowski, Claire High Energy Physics - Theory Modular Berry transport is a useful way to understand how geometric bulk information is encoded in the boundary CFT: The modular curvature is directly related to the bulk Riemann curvature. We extend this approach by studying modular transport in the presence of a non-trivial quantum extremal surface. Focusing on JT gravity on an AdS background coupled to a non-gravitating bath, we compute the modular curvature of an interval in the bath in the presence of an island: the Quantum Extremal Modular Curvature (QEMC). We highlight some important properties of the QEMC, most importantly that it is non-local in general. In an OPE limit, the QEMC becomes local and probes the bulk Riemann curvature in regions with an island. Our work gives a new approach to probe physics behind horizons. |
| title | Quantum Extremal Modular Curvature: Modular Transport with Islands |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.05176 |