Holographic entanglement negativity for disjoint intervals in $$AdS_3/CFT_2$$ AdS3/CFT2
Abstract We advance a holographic construction for the entanglement negativity of bipartite mixed state configurations of two disjoint intervals in $$(1+1)$$ (1+1) dimensional conformal field theories ($$CFT_{1+1}$$ CFT1+1 ) through the $$AdS_3/CFT_2$$ AdS3/CFT2 correspondence. Our construction cons...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-6693-8 |
| Summary: | Abstract We advance a holographic construction for the entanglement negativity of bipartite mixed state configurations of two disjoint intervals in $$(1+1)$$ (1+1) dimensional conformal field theories ($$CFT_{1+1}$$ CFT1+1 ) through the $$AdS_3/CFT_2$$ AdS3/CFT2 correspondence. Our construction constitutes the large central charge analysis of the entanglement negativity for mixed states under consideration and involves a specific algebraic sum of bulk space like geodesics anchored on appropriate intervals in the dual $$CFT_{1+1}$$ CFT1+1 . The construction is utilized to compute the holographic entanglement negativity for such mixed states in $$CFT_{1+1}$$ CFT1+1 s dual to bulk pure $$AdS_3$$ AdS3 geometries and BTZ black holes respectively. Our analysis exactly reproduces the universal features of corresponding replica technique results in the large central charge limit which serves as a consistency check. |
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| ISSN: | 1434-6044 1434-6052 |