p-adic CFT is a holographic tensor network
| Autor: | Hung, Ling-Yan, Li, Wei, Melby-Thompson, Charles M. |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | JHEP04(2019)170 |
| Druh dokumentu: | Working Paper |
| Popis: | The p-adic AdS/CFT correspondence relates a CFT living on the p-adic numbers to a system living on the Bruhat-Tits tree. Modifying our earlier proposal for a tensor network realization of p-adic AdS/CFT, we prove that the path integral of a p-adic CFT is equivalent to a tensor network on the Bruhat-Tits tree, in the sense that the tensor network reproduces all correlation functions of the p-adic CFT. Our rules give an explicit tensor network for any p-adic CFT (as axiomatized by Melzer), and can be applied not only to the p-adic plane, but also to compute any correlation functions on higher genus p-adic curves. Finally, we apply them to define and study RG flows in p-adic CFTs, establishing in particular that any IR fixed point is itself a p-adic CFT. Comment: 43 pages, 13 figures; v2: typos corrected, published version |
| Databáze: | arXiv |
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