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

Shih Hao Ho, Feng Li Lin

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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.

Original languageEnglish
Pages (from-to)1115-1125
Number of pages11
JournalScience Bulletin
Volume61
Issue number14
DOIs
Publication statusPublished - 2016 Jul 1

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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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