Wilson line networks in $p$-adic AdS/CFT
| Autor: | Hung, Ling-Yan, Li, Wei, Melby-Thompson, Charles M. |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | JHEP05(2019)118 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP05(2019)118 |
| Popis: | The $p$-adic AdS/CFT is a holographic duality based on the $p$-adic number field $\mathbb{Q}_p$. For a $p$-adic CFT living on $\mathbb{Q}_p$ and with complex-valued fields, the bulk theory is defined on the Bruhat-Tits tree, which can be viewed as the bulk dual of $\mathbb{Q}_p$. We propose that bulk theory can be formulated as a lattice gauge theory of PGL$(2,\mathbb{Q}_p)$ 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. Comment: 34 pages, 5 figures; v2: typos corrected, published version |
| Databáze: | arXiv |
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