More on time-reversal anomaly of 2+1d topological phases
High Energy Physics - Theory
2017-09-20 v2 Strongly Correlated Electrons
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 crosscap state in terms of the modular S matrix and eigenvalues, generalizing the recent analysis by Barkeshli et al. in the bosonic case.
Keywords
Cite
@article{arxiv.1611.01601,
title = {More on time-reversal anomaly of 2+1d topological phases},
author = {Yuji Tachikawa and Kazuya Yonekura},
journal= {arXiv preprint arXiv:1611.01601},
year = {2017}
}
Comments
9 pages; v2:heuristic explanation added, title in the journal version changed to "Derivation of the Time-Reversal Anomaly for (2+1)-Dimensional Topological Phases"