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

Yuji Tachikawa, Kazuya Yonekura

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


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
Issue number11
Publication statusPublished - 2017 Sept 13


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