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

Yuji Tachikawa, Kazuya Yonekura

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

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
Volume2017
Issue number3
DOIs
Publication statusPublished - Mar 1 2017

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anomalies
momentum
symmetry

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

On time-reversal anomaly of 2+1d topological phases. / Tachikawa, Yuji; Yonekura, Kazuya.

In: Progress of Theoretical and Experimental Physics, Vol. 2017, No. 3, 033B04, 01.03.2017.

Research output: Contribution to journalArticle

Tachikawa, Yuji ; Yonekura, Kazuya. / On time-reversal anomaly of 2+1d topological phases. In: Progress of Theoretical and Experimental Physics. 2017 ; Vol. 2017, No. 3.
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