A note on the holographic time-like entanglement entropy in Lifshitz theory
Abstract We explore the holographic time-like entanglement entropy (TEE) in the boundary theory of three-dimensional Lifshitz spacetime. There have been various holographic proposals for TEE in recent years and we test those proposals in the Lifshitz background. We obtain the analytic result for TEE...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)055 |
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| author | Siddhi Swarupa Jena Subhash Mahapatra |
| author_facet | Siddhi Swarupa Jena Subhash Mahapatra |
| author_sort | Siddhi Swarupa Jena |
| collection | DOAJ |
| description | Abstract We explore the holographic time-like entanglement entropy (TEE) in the boundary theory of three-dimensional Lifshitz spacetime. There have been various holographic proposals for TEE in recent years and we test those proposals in the Lifshitz background. We obtain the analytic result for TEE in each proposal, compare the results, and analyze how the anisotropic scaling affects the TEE. We find that different holographic proposals give the same result for TEE in the Lifshitz background. Our analysis further suggests that the TEE of the Lifshitz system contains real and imaginary parts, both of which depend on the anisotropic parameter. |
| format | Article |
| id | doaj-art-c986fc7679474fbfa7ae87acfad27e65 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-c986fc7679474fbfa7ae87acfad27e652025-01-19T12:06:42ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112110.1007/JHEP01(2025)055A note on the holographic time-like entanglement entropy in Lifshitz theorySiddhi Swarupa Jena0Subhash Mahapatra1Department of Physics and Astronomy, National Institute of Technology RourkelaDepartment of Physics and Astronomy, National Institute of Technology RourkelaAbstract We explore the holographic time-like entanglement entropy (TEE) in the boundary theory of three-dimensional Lifshitz spacetime. There have been various holographic proposals for TEE in recent years and we test those proposals in the Lifshitz background. We obtain the analytic result for TEE in each proposal, compare the results, and analyze how the anisotropic scaling affects the TEE. We find that different holographic proposals give the same result for TEE in the Lifshitz background. Our analysis further suggests that the TEE of the Lifshitz system contains real and imaginary parts, both of which depend on the anisotropic parameter.https://doi.org/10.1007/JHEP01(2025)055Gauge-Gravity CorrespondenceHolography and Condensed Matter Physics (AdS/CMT) |
| spellingShingle | Siddhi Swarupa Jena Subhash Mahapatra A note on the holographic time-like entanglement entropy in Lifshitz theory Journal of High Energy Physics Gauge-Gravity Correspondence Holography and Condensed Matter Physics (AdS/CMT) |
| title | A note on the holographic time-like entanglement entropy in Lifshitz theory |
| title_full | A note on the holographic time-like entanglement entropy in Lifshitz theory |
| title_fullStr | A note on the holographic time-like entanglement entropy in Lifshitz theory |
| title_full_unstemmed | A note on the holographic time-like entanglement entropy in Lifshitz theory |
| title_short | A note on the holographic time-like entanglement entropy in Lifshitz theory |
| title_sort | note on the holographic time like entanglement entropy in lifshitz theory |
| topic | Gauge-Gravity Correspondence Holography and Condensed Matter Physics (AdS/CMT) |
| url | https://doi.org/10.1007/JHEP01(2025)055 |
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