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

Yuji Tachikawa and Kazuya Yonekura
Phys. Rev. Lett. 119, 111603 – Published 13 September 2017

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.

  • Received 28 November 2016

DOI:https://doi.org/10.1103/PhysRevLett.119.111603

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Yuji Tachikawa and Kazuya Yonekura

  • Kavli Institute for the Physics and Mathematics of the Universe, University of Tokyo, Kashiwa, Chiba 277-8583, Japan

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Issue

Vol. 119, Iss. 11 — 15 September 2017

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