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

作者:Tachikawa Yuji*; Yonekura Kazuya
来源:Physical Review Letters, 2017, 119(11): 111603.
DOI:10.1103/PhysRevLett.119.111603

摘要

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 T-2 eigenvalues, generalizing the recent analysis by Barkeshli et al. in the bosonic case.

  • 出版日期2017-9-13