Fixing the AdS$_3$ metric from the pure state entanglement entropies of CFT$_2$
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2017
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| _version_ | 1866915181765853184 |
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| author | Wang, Peng Wu, Houwen Yang, Haitang |
| author_facet | Wang, Peng Wu, Houwen Yang, Haitang |
| contents | In this paper, based on RT formula, by identifying the pure state UV and IR entanglement entropies of a perturbed CFT$_2$ with geodesic lengths in the bulk, we demonstrate that the dual geometry is uniquely determined to be asymptotically AdS$_3$. The pure AdS$_3$ geometry is recovered by taking the massless limit of the system. Our derivations hold in both static and covariant scenarios. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1710_08448 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Fixing the AdS$_3$ metric from the pure state entanglement entropies of CFT$_2$ Wang, Peng Wu, Houwen Yang, Haitang High Energy Physics - Theory Statistical Mechanics General Relativity and Quantum Cosmology Quantum Physics In this paper, based on RT formula, by identifying the pure state UV and IR entanglement entropies of a perturbed CFT$_2$ with geodesic lengths in the bulk, we demonstrate that the dual geometry is uniquely determined to be asymptotically AdS$_3$. The pure AdS$_3$ geometry is recovered by taking the massless limit of the system. Our derivations hold in both static and covariant scenarios. |
| title | Fixing the AdS$_3$ metric from the pure state entanglement entropies of CFT$_2$ |
| topic | High Energy Physics - Theory Statistical Mechanics General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/1710.08448 |