Gauge invariant target space entanglement in D-brane holography
Abstract It has been suggested in arXiv:2004.00613 that in Dp-brane holography, entanglement in the target space of the D-brane Yang-Mills theory provides a precise notion of bulk entanglement in the gravity dual. We expand on this discussion by providing a gauge invariant characterization of operat...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2021)225 |
| _version_ | 1819299339288182784 |
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| author | Sumit R. Das Anurag Kaushal Sinong Liu Gautam Mandal Sandip P. Trivedi |
| author_facet | Sumit R. Das Anurag Kaushal Sinong Liu Gautam Mandal Sandip P. Trivedi |
| author_sort | Sumit R. Das |
| collection | DOAJ |
| description | Abstract It has been suggested in arXiv:2004.00613 that in Dp-brane holography, entanglement in the target space of the D-brane Yang-Mills theory provides a precise notion of bulk entanglement in the gravity dual. We expand on this discussion by providing a gauge invariant characterization of operator sub-algebras corresponding to such entanglement. This is achieved by finding a projection operator which imposes a constraint characterizing the target space region of interest. By considering probe branes in the Coloumb branch we provide motivation for why the operator sub-algebras we consider are appropriate for describing a class of measurements carried out with low-energy probes in the corresponding bulk region of interest. We derive expressions for the corresponding Renyi entropies in terms of path integrals which can be directly used in numerical calculations. |
| first_indexed | 2024-12-24T05:44:13Z |
| format | Article |
| id | doaj.art-b79c068f530146ae8f653789448aab6c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-24T05:44:13Z |
| publishDate | 2021-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b79c068f530146ae8f653789448aab6c2022-12-21T17:12:40ZengSpringerOpenJournal of High Energy Physics1029-84792021-04-012021415010.1007/JHEP04(2021)225Gauge invariant target space entanglement in D-brane holographySumit R. Das0Anurag Kaushal1Sinong Liu2Gautam Mandal3Sandip P. Trivedi4Department of Physics and Astronomy, University of KentuckyDepartment of Theoretical Physics, Tata Institute of Fundamental ResearchDepartment of Physics and Astronomy, University of KentuckyDepartment of Theoretical Physics, Tata Institute of Fundamental ResearchDepartment of Theoretical Physics, Tata Institute of Fundamental ResearchAbstract It has been suggested in arXiv:2004.00613 that in Dp-brane holography, entanglement in the target space of the D-brane Yang-Mills theory provides a precise notion of bulk entanglement in the gravity dual. We expand on this discussion by providing a gauge invariant characterization of operator sub-algebras corresponding to such entanglement. This is achieved by finding a projection operator which imposes a constraint characterizing the target space region of interest. By considering probe branes in the Coloumb branch we provide motivation for why the operator sub-algebras we consider are appropriate for describing a class of measurements carried out with low-energy probes in the corresponding bulk region of interest. We derive expressions for the corresponding Renyi entropies in terms of path integrals which can be directly used in numerical calculations.https://doi.org/10.1007/JHEP04(2021)225D-branesGauge-gravity correspondenceMatrix Models |
| spellingShingle | Sumit R. Das Anurag Kaushal Sinong Liu Gautam Mandal Sandip P. Trivedi Gauge invariant target space entanglement in D-brane holography Journal of High Energy Physics D-branes Gauge-gravity correspondence Matrix Models |
| title | Gauge invariant target space entanglement in D-brane holography |
| title_full | Gauge invariant target space entanglement in D-brane holography |
| title_fullStr | Gauge invariant target space entanglement in D-brane holography |
| title_full_unstemmed | Gauge invariant target space entanglement in D-brane holography |
| title_short | Gauge invariant target space entanglement in D-brane holography |
| title_sort | gauge invariant target space entanglement in d brane holography |
| topic | D-branes Gauge-gravity correspondence Matrix Models |
| url | https://doi.org/10.1007/JHEP04(2021)225 |
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