Dai-Freed theorem and topological phases of matter

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14 Citations (Scopus)

Abstract

We describe a physics derivation of theorems due to Dai and Freed about the Atiyah-Patodi-Singer eta-invariant which is important for anomalies and topological phases of matter. This is done by studying a massive fermion. The key role is played by the wave function of the ground state in the Hilbert space of the fermion in the large mass limit. The ground state takes values in the determinant line bundle and has nontrivial Berry phases which characterize the low energy topological phases.

Original languageEnglish
Article number22
JournalJournal of High Energy Physics
Volume2016
Issue number9
DOIs
Publication statusPublished - 2016 Sep 1
Externally publishedYes

Keywords

  • Anomalies in Field and String Theories
  • Differential and Algebraic Geometry
  • Topological States of Matter

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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