Covariant holographic negativity from the entanglement wedge in AdS$_3/$CFT$_2$
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| Main Authors: | , , , |
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| Format: | Preprint |
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2021
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| _version_ | 1866910359240048640 |
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| author | Basak, Jaydeep Kumar Parihar, Himanshu Paul, Boudhayan Sengupta, Gautam |
| author_facet | Basak, Jaydeep Kumar Parihar, Himanshu Paul, Boudhayan Sengupta, Gautam |
| contents | We propose a covariant holographic construction based on the extremal entanglement wedge cross section, for the entanglement negativity of bipartite states in $CFT_{1+1}$s dual to non static bulk $AdS_3$ geometries. Utilizing our proposal we obtain the holographic entanglement negativity for bipartite mixed states in $CFT_{1+1}$s dual to bulk extremal and non extremal rotating BTZ black holes and the time dependent Vaidya-$AdS_3$ geometries. Our results correctly reproduce the replica technique results modulo certain constants for the corresponding dual $CFT_{1+1}$s in the large central charge limit for the bulk black hole geometries. Furthermore for all the cases our results also match upto such constants with the corresponding results from an earlier alternate covariant holographic construction in the literature. This demonstrates the equivalence modulo constants of the two constructions for the $AdS_3/CFT_2$ scenario. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2102_05676 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Covariant holographic negativity from the entanglement wedge in AdS$_3/$CFT$_2$ Basak, Jaydeep Kumar Parihar, Himanshu Paul, Boudhayan Sengupta, Gautam High Energy Physics - Theory We propose a covariant holographic construction based on the extremal entanglement wedge cross section, for the entanglement negativity of bipartite states in $CFT_{1+1}$s dual to non static bulk $AdS_3$ geometries. Utilizing our proposal we obtain the holographic entanglement negativity for bipartite mixed states in $CFT_{1+1}$s dual to bulk extremal and non extremal rotating BTZ black holes and the time dependent Vaidya-$AdS_3$ geometries. Our results correctly reproduce the replica technique results modulo certain constants for the corresponding dual $CFT_{1+1}$s in the large central charge limit for the bulk black hole geometries. Furthermore for all the cases our results also match upto such constants with the corresponding results from an earlier alternate covariant holographic construction in the literature. This demonstrates the equivalence modulo constants of the two constructions for the $AdS_3/CFT_2$ scenario. |
| title | Covariant holographic negativity from the entanglement wedge in AdS$_3/$CFT$_2$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2102.05676 |