Wilson line networks in p-adic AdS/CFT
Abstract The p-adic AdS/CFT is a holographic duality based on the p-adic number field ℚ p . For a p-adic CFT living on ℚ p and with complex-valued fields, the bulk theory is defined on the Bruhat-Tits tree, which can be viewed as the bulk dual of ℚ p . We propose that bulk theory can be formulated a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2019)118 |
| _version_ | 1819020310686466048 |
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| author | Ling-Yan Hung Wei Li Charles M. Melby-Thompson |
| author_facet | Ling-Yan Hung Wei Li Charles M. Melby-Thompson |
| author_sort | Ling-Yan Hung |
| collection | DOAJ |
| description | Abstract The p-adic AdS/CFT is a holographic duality based on the p-adic number field ℚ p . For a p-adic CFT living on ℚ p and with complex-valued fields, the bulk theory is defined on the Bruhat-Tits tree, which can be viewed as the bulk dual of ℚ p . We propose that bulk theory can be formulated as a lattice gauge theory of PGL(2, ℚ p ) on the Bruhat-Tits tree, and show that the Wilson line networks in this lattice gauge theory can reproduce all the correlation functions of the boundary p-adic CFT. |
| first_indexed | 2024-12-21T03:49:11Z |
| format | Article |
| id | doaj.art-2cda6729d2274ae4873681083e71e94c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T03:49:11Z |
| publishDate | 2019-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2cda6729d2274ae4873681083e71e94c2022-12-21T19:17:00ZengSpringerOpenJournal of High Energy Physics1029-84792019-05-012019513510.1007/JHEP05(2019)118Wilson line networks in p-adic AdS/CFTLing-Yan Hung0Wei Li1Charles M. Melby-Thompson2Department of Physics and Center for Field Theory and Particle Physics, Fudan UniversityInstitute of Theoretical Physics, Chinese Academy of SciencesInstitut für Theoretische Physik und Astrophysik, Julius-Maximilians-Universität WürzburgAbstract The p-adic AdS/CFT is a holographic duality based on the p-adic number field ℚ p . For a p-adic CFT living on ℚ p and with complex-valued fields, the bulk theory is defined on the Bruhat-Tits tree, which can be viewed as the bulk dual of ℚ p . We propose that bulk theory can be formulated as a lattice gauge theory of PGL(2, ℚ p ) on the Bruhat-Tits tree, and show that the Wilson line networks in this lattice gauge theory can reproduce all the correlation functions of the boundary p-adic CFT.http://link.springer.com/article/10.1007/JHEP05(2019)118AdS-CFT CorrespondenceWilson, ’t Hooft and Polyakov loopsChern-Simons TheoriesConformal Field Theory |
| spellingShingle | Ling-Yan Hung Wei Li Charles M. Melby-Thompson Wilson line networks in p-adic AdS/CFT Journal of High Energy Physics AdS-CFT Correspondence Wilson, ’t Hooft and Polyakov loops Chern-Simons Theories Conformal Field Theory |
| title | Wilson line networks in p-adic AdS/CFT |
| title_full | Wilson line networks in p-adic AdS/CFT |
| title_fullStr | Wilson line networks in p-adic AdS/CFT |
| title_full_unstemmed | Wilson line networks in p-adic AdS/CFT |
| title_short | Wilson line networks in p-adic AdS/CFT |
| title_sort | wilson line networks in p adic ads cft |
| topic | AdS-CFT Correspondence Wilson, ’t Hooft and Polyakov loops Chern-Simons Theories Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP05(2019)118 |
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