On time-reversal anomaly of 2+1d topological phases

Yuji Tachikawa, Kazuya Yonekura

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)


We describe a method to find the anomaly of the time-reversal symmetry of 2+1d topological quantum field theories, by computing the fractional anomalous momentum on the crosscap background. This allows us, e.g., to identify the parameter v mod 16 of the bulk 3+1d topological superconductor with T2 = (-1)F on whose boundary a given 2+1d time-reversal-invariant topological phase can appear.

Original languageEnglish
Article number033B04
JournalProgress of Theoretical and Experimental Physics
Issue number3
Publication statusPublished - 2017 Mar 1


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