Derivation of the Time-Reversal Anomaly for (2+1)-Dimensional Topological Phases

Yuji Tachikawa, Kazuya Yonekura

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We prove an explicit formula conjectured recently by Wang and Levin for the anomaly of time-reversal symmetry in (2+1)-dimensional fermionic topological quantum field theories. The crucial step is to determine the cross-cap state in terms of the modular S matrix and T2 eigenvalues, generalizing the recent analysis by Barkeshli et al. in the bosonic case.

Original languageEnglish
Article number111603
JournalPhysical Review Letters
Volume119
Issue number11
DOIs
Publication statusPublished - Sep 13 2017

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caps
eigenvalues
derivation
anomalies
symmetry
matrices

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Derivation of the Time-Reversal Anomaly for (2+1)-Dimensional Topological Phases. / Tachikawa, Yuji; Yonekura, Kazuya.

In: Physical Review Letters, Vol. 119, No. 11, 111603, 13.09.2017.

Research output: Contribution to journalArticle

Tachikawa, Yuji ; Yonekura, Kazuya. / Derivation of the Time-Reversal Anomaly for (2+1)-Dimensional Topological Phases. In: Physical Review Letters. 2017 ; Vol. 119, No. 11.
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