p-adic CFT is a holographic tensor network
文献类型:期刊论文
| 作者 | Hung, LY; Li, W6 ; Melby-Thompson, CM
|
| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
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| 出版日期 | 2019 |
| 期号 | 4页码:170 |
| 关键词 | CURVES |
| ISSN号 | 1029-8479 |
| DOI | 10.1007/JHEP04(2019)170 |
| 英文摘要 | 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 [1] 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. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/23446] ![]() |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 作者单位 | 1.Melby-Thompson, Charles M.] Julius Maximilians Univ Wurzburg, Inst Theoret Phys & Astrophys, D-97074 Wurzburg, Germany 2.Fudan Univ, State Key Lab Surface Phys, 220 Handan Rd, Shanghai 200433, Peoples R China 3.Fudan Univ, Dept Phys, 220 Handan Rd, Shanghai 200433, Peoples R China 4.Fudan Univ, Dept Phys, Handan Rd, Shanghai 200433, Peoples R China 5.Fudan Univ, Ctr Field Theory & Particle Phys, Handan Rd, Shanghai 200433, Peoples R China 6.Fudan Univ, Inst Nanoelect Devices & Quantum Comp, Shanghai 200433, Peoples R China 7.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hung, LY,Li, W,Melby-Thompson, CM. p-adic CFT is a holographic tensor network[J]. JOURNAL OF HIGH ENERGY PHYSICS,2019(4):170. |
| APA | Hung, LY,Li, W,&Melby-Thompson, CM.(2019).p-adic CFT is a holographic tensor network.JOURNAL OF HIGH ENERGY PHYSICS(4),170. |
| MLA | Hung, LY,et al."p-adic CFT is a holographic tensor network".JOURNAL OF HIGH ENERGY PHYSICS .4(2019):170. |
入库方式: OAI收割
来源:理论物理研究所
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