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

Shih Hao Ho; Feng Li Lin

doi:10.1007/s11434-016-1110-2

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

Shih Hao Ho, Feng Li Lin^*

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1115-1125
Number of pages	11
Journal	Science Bulletin
Volume	61
Issue number	14
DOIs	https://doi.org/10.1007/s11434-016-1110-2
Publication status	Published - 2016 Jul 1

Keywords

AdS/CFT correspondence
Bulk/Edge correspondence
Holographic CFT
K-theoretical classification
SPT phases
Topological insulators/superconductors

ASJC Scopus subject areas

General

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10.1007/s11434-016-1110-2

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abstract = "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.",

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AU - Lin, Feng Li

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N2 - 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.

AB - 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.

KW - AdS/CFT correspondence

KW - Bulk/Edge correspondence

KW - Holographic CFT

KW - K-theoretical classification

KW - SPT phases

KW - Topological insulators/superconductors

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

Abstract

Keywords

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