K-theoretic classification of fermionic operator mixings in holographic conformal field theories  

作　　者：Shih-Hao Ho Feng-Li Lin 

机构地区：[1]Department of Physics, Taiwan Normal University

出　　处：《Science Bulletin》2016年第14期1115-1125,共11页科学通报（英文版）

基　　金：supported by Taiwan’s Ministry of Science and Technology(Mo ST)Grants(100-2811-M-003-011 and 100-2918-I-003-008)

摘　　要：In this paper, we apply the K-theory scheme of classifying the topological insulators/superconductors to classify the topological classes of the massive multi-flavor fermions in anti-de Sitter(Ad S) space. In the context of Ad S/conformal field theory(CFT) correspondence, the multi-flavor fermionic mass matrix is dual to the pattern of operator mixing in the boundary CFT. Thus, our results classify the possible patterns of operator mixings among fermionic operators in the holographic CFT.In this paper, we apply the K-theory scheme of classifying the topological insulators/superconductors to classify the topological classes of the massive multi-flavor fermions in anti-de Sitter （ADS） space. In the context of AdS/conformal field theory （CFT） correspondence, the multi-flavor fermionic mass matrix is dual to the pattern of operator mixing in the boundary CFT. Thus, our results classify the possible patterns of operator mixings among fermionic operators in the holographic CFT.

关 键 词：Topological insulators/superconductorsSPT phases AdS/CFT correspondence K-theoretical classification Bulk/Edgecorrespondence Holographic CFT 

分 类 号：O511.3[一般工业技术—材料科学与工程]