Quantum Entanglement on Black Hole Horizons in String Theory and Holography
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866910617687818240 |
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| author | Dabholkar, Atish Moitra, Upamanyu |
| author_facet | Dabholkar, Atish Moitra, Upamanyu |
| contents | We compute the exact one-loop partition function of $\mathbb{Z}_N$ orbifolds of Euclidean BTZ black hole with the aim to compute the entanglement entropy of the black hole horizon in string theory as a function of the mass and spin of the black hole and the $\mathrm{AdS}_3$ radius. We analyze the tachyonic contribution to the modular integrand for the partition function known for odd integers $N>1$ and show that it admits an analytic continuation resulting in a finite answer for the modular integral in the physical region $0< N \leq 1$. We discuss the flat space limit and the relevance of this computation for quantum gravity near black hole horizons and holography in relation to the thermal entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_14253 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum Entanglement on Black Hole Horizons in String Theory and Holography Dabholkar, Atish Moitra, Upamanyu High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics Quantum Physics We compute the exact one-loop partition function of $\mathbb{Z}_N$ orbifolds of Euclidean BTZ black hole with the aim to compute the entanglement entropy of the black hole horizon in string theory as a function of the mass and spin of the black hole and the $\mathrm{AdS}_3$ radius. We analyze the tachyonic contribution to the modular integrand for the partition function known for odd integers $N>1$ and show that it admits an analytic continuation resulting in a finite answer for the modular integral in the physical region $0< N \leq 1$. We discuss the flat space limit and the relevance of this computation for quantum gravity near black hole horizons and holography in relation to the thermal entropy. |
| title | Quantum Entanglement on Black Hole Horizons in String Theory and Holography |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2312.14253 |