ITP OpenIR  > SCI期刊论文
Hung, LY; Li, W5; Melby-Thompson, CM
p-adic CFT is a holographic tensor network
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
KeywordCURVES
AbstractThe 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.
2019
ISSN1029-8479
Issue4Pages:170
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
DOI10.1007/JHEP04(2019)170
Indexed BySCIE
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/23446
CollectionSCI期刊论文
Affiliation1.Fudan Univ, State Key Lab Surface Phys, 220 Handan Rd, Shanghai 200433, Peoples R China
2.Fudan Univ, Dept Phys, 220 Handan Rd, Shanghai 200433, Peoples R China
3.Fudan Univ, Dept Phys, Handan Rd, Shanghai 200433, Peoples R China
4.Fudan Univ, Ctr Field Theory & Particle Phys, Handan Rd, Shanghai 200433, Peoples R China
5.Fudan Univ, Inst Nanoelect Devices & Quantum Comp, Shanghai 200433, Peoples R China
6.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China
7.Melby-Thompson, Charles M.] Julius Maximilians Univ Wurzburg, Inst Theoret Phys & Astrophys, D-97074 Wurzburg, Germany
Recommended Citation
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.
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