Holographic timelike entanglement in AdS$_{3}$ Vaidya
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915476274151424 |
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| author | Katoch, Gaurav Sarkar, Debajyoti Sen, Bhim |
| author_facet | Katoch, Gaurav Sarkar, Debajyoti Sen, Bhim |
| contents | Based on the studies of pseudo-entropy in de Sitter, there have been recent proposals for a timelike entanglement in AdS/CFT. In this work, we explore this proposal in the context of a holographic CFT undergoing a global quench. We study various cases in which the timelike intervals are anchored at various boundary times, sometimes straddling the infalling shell. The early and late time behaviours reproduce the known results coming from the pure AdS and the black hole geometry dual to the thermal CFT state respectively. However when the infalling shock straddles the timelike interval, the dynamics drastically differs from how the entanglement entropy evolves. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_14313 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Holographic timelike entanglement in AdS$_{3}$ Vaidya Katoch, Gaurav Sarkar, Debajyoti Sen, Bhim High Energy Physics - Theory General Relativity and Quantum Cosmology Based on the studies of pseudo-entropy in de Sitter, there have been recent proposals for a timelike entanglement in AdS/CFT. In this work, we explore this proposal in the context of a holographic CFT undergoing a global quench. We study various cases in which the timelike intervals are anchored at various boundary times, sometimes straddling the infalling shell. The early and late time behaviours reproduce the known results coming from the pure AdS and the black hole geometry dual to the thermal CFT state respectively. However when the infalling shock straddles the timelike interval, the dynamics drastically differs from how the entanglement entropy evolves. |
| title | Holographic timelike entanglement in AdS$_{3}$ Vaidya |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2504.14313 |