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 |
| _version_ | 1819208333401260032 |
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| author | Vinay Malvimat Sayid Mondal Boudhayan Paul Gautam Sengupta |
| author_facet | Vinay Malvimat Sayid Mondal Boudhayan Paul Gautam Sengupta |
| author_sort | Vinay Malvimat |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-23T05:37:43Z |
| format | Article |
| id | doaj.art-b84cc9a9f62a4263a4bd2607943968fc |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-23T05:37:43Z |
| publishDate | 2019-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-b84cc9a9f62a4263a4bd2607943968fc2022-12-21T17:58:17ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-03-0179311010.1140/epjc/s10052-019-6693-8Holographic entanglement negativity for disjoint intervals in $$AdS_3/CFT_2$$ AdS3/CFT2Vinay Malvimat0Sayid Mondal1Boudhayan Paul2Gautam Sengupta3Indian Institute of Science Education and ResearchDepartment of Physics, Indian Institute of TechnologyDepartment of Physics, Indian Institute of TechnologyDepartment of Physics, Indian Institute of TechnologyAbstract 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.http://link.springer.com/article/10.1140/epjc/s10052-019-6693-8 |
| spellingShingle | Vinay Malvimat Sayid Mondal Boudhayan Paul Gautam Sengupta Holographic entanglement negativity for disjoint intervals in $$AdS_3/CFT_2$$ AdS3/CFT2 European Physical Journal C: Particles and Fields |
| title | Holographic entanglement negativity for disjoint intervals in $$AdS_3/CFT_2$$ AdS3/CFT2 |
| title_full | Holographic entanglement negativity for disjoint intervals in $$AdS_3/CFT_2$$ AdS3/CFT2 |
| title_fullStr | Holographic entanglement negativity for disjoint intervals in $$AdS_3/CFT_2$$ AdS3/CFT2 |
| title_full_unstemmed | Holographic entanglement negativity for disjoint intervals in $$AdS_3/CFT_2$$ AdS3/CFT2 |
| title_short | Holographic entanglement negativity for disjoint intervals in $$AdS_3/CFT_2$$ AdS3/CFT2 |
| title_sort | holographic entanglement negativity for disjoint intervals in ads 3 cft 2 ads3 cft2 |
| url | http://link.springer.com/article/10.1140/epjc/s10052-019-6693-8 |
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