Matrix entanglement
Abstract In gauge/gravity duality, matrix degrees of freedom on the gauge theory side play important roles for the emergent geometry. In this paper, we discuss how the entanglement on the gravity side can be described as the entanglement between matrix degrees of freedom. Our approach, which we call...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2023)003 |
| _version_ | 1797836687568535552 |
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| author | Vaibhav Gautam Masanori Hanada Antal Jevicki Cheng Peng |
| author_facet | Vaibhav Gautam Masanori Hanada Antal Jevicki Cheng Peng |
| author_sort | Vaibhav Gautam |
| collection | DOAJ |
| description | Abstract In gauge/gravity duality, matrix degrees of freedom on the gauge theory side play important roles for the emergent geometry. In this paper, we discuss how the entanglement on the gravity side can be described as the entanglement between matrix degrees of freedom. Our approach, which we call ‘matrix entanglement’, is different from ‘target-space entanglement’ proposed and discussed recently by several groups. We consider several classes of quantum states to which our approach can play important roles. When applied to fuzzy sphere, matrix entanglement can be used to define the usual spatial entanglement in two-brane or five-brane world-volume theory nonperturbatively in a regularized setup. Another application is to a small black hole in AdS5×S5 that can evaporate without being attached to a heat bath, for which our approach suggests a gauge theory origin of the Page curve. The confined degrees of freedom in the partially-deconfined states play the important roles. |
| first_indexed | 2024-04-09T15:12:58Z |
| format | Article |
| id | doaj.art-7791d7f91200469c85ac636e7d13cb04 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T15:12:58Z |
| publishDate | 2023-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7791d7f91200469c85ac636e7d13cb042023-04-30T11:04:34ZengSpringerOpenJournal of High Energy Physics1029-84792023-01-012023113710.1007/JHEP01(2023)003Matrix entanglementVaibhav Gautam0Masanori Hanada1Antal Jevicki2Cheng Peng3Department of Mathematics, University of SurreyDepartment of Mathematics, University of SurreyDepartment of Physics, Brown UniversityKavli Institute for Theoretical Sciences (KITS), University of Chinese Academy of SciencesAbstract In gauge/gravity duality, matrix degrees of freedom on the gauge theory side play important roles for the emergent geometry. In this paper, we discuss how the entanglement on the gravity side can be described as the entanglement between matrix degrees of freedom. Our approach, which we call ‘matrix entanglement’, is different from ‘target-space entanglement’ proposed and discussed recently by several groups. We consider several classes of quantum states to which our approach can play important roles. When applied to fuzzy sphere, matrix entanglement can be used to define the usual spatial entanglement in two-brane or five-brane world-volume theory nonperturbatively in a regularized setup. Another application is to a small black hole in AdS5×S5 that can evaporate without being attached to a heat bath, for which our approach suggests a gauge theory origin of the Page curve. The confined degrees of freedom in the partially-deconfined states play the important roles.https://doi.org/10.1007/JHEP01(2023)003Black Holes in String TheoryGauge-Gravity CorrespondenceM(atrix) Theories |
| spellingShingle | Vaibhav Gautam Masanori Hanada Antal Jevicki Cheng Peng Matrix entanglement Journal of High Energy Physics Black Holes in String Theory Gauge-Gravity Correspondence M(atrix) Theories |
| title | Matrix entanglement |
| title_full | Matrix entanglement |
| title_fullStr | Matrix entanglement |
| title_full_unstemmed | Matrix entanglement |
| title_short | Matrix entanglement |
| title_sort | matrix entanglement |
| topic | Black Holes in String Theory Gauge-Gravity Correspondence M(atrix) Theories |
| url | https://doi.org/10.1007/JHEP01(2023)003 |
| work_keys_str_mv | AT vaibhavgautam matrixentanglement AT masanorihanada matrixentanglement AT antaljevicki matrixentanglement AT chengpeng matrixentanglement |