中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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
出版日期2019
期号4页码:170
关键词CURVES
ISSN号1029-8479
DOI10.1007/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
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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.

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来源:理论物理研究所

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