TY - JOUR
T1 - Derivation of the Time-Reversal Anomaly for (2+1)-Dimensional Topological Phases
AU - Tachikawa, Yuji
AU - Yonekura, Kazuya
N1 - Funding Information:
The authors thank Chenjie Wang for informing them of the paper and the talk which are crucial in the present work. They also thank K. Shiozaki for helpful discussions. The work of Y. T. is partially supported in part by Japan Society for the Promotion of Science Grant-in-Aid for Scientific Research No. 25870159. The work of K. Y. and Y. T. is supported by World Premier International Research Center Initiative (WPI Initiative), Ministry of Education, Culture, Sports, Science and Technology, Japan.
Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/9/13
Y1 - 2017/9/13
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.119.111603
DO - 10.1103/PhysRevLett.119.111603
M3 - Article
C2 - 28949209
AN - SCOPUS:85029897088
SN - 0031-9007
VL - 119
JO - Physical Review Letters
JF - Physical Review Letters
IS - 11
M1 - 111603
ER -