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

作     者：Shih-Hao Ho Feng-Li Lin 

作者机构：Department of Physics Taiwan Normal University 

出 版 物：《Science Bulletin》 (科学通报（英文版）)

年 卷 期：2016年第61卷第14期

页      面：1115-1125页

核心收录：

学科分类：080705[工学-制冷及低温工程] 07[理学] 070205[理学-凝聚态物理] 08[工学] 0807[工学-动力工程及工程热物理] 0702[理学-物理学] 

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) 

主　　题：费米子 场理论 混合 算子 分类 共形 全息 CFT 

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.