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 |
| Published: |
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 |
| Summary: | 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. |
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| ISSN: | 1029-8479 |