Dai-Freed theorem and topological phases of matter

Kazuya Yonekura

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


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
Issue number9
Publication statusPublished - Sept 1 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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