Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published March 2017 | Submitted + Published
Journal Article Open

Equivariant Topological Quantum Field Theory and Symmetry Protected Topological Phases

Abstract

Short-Range Entangled topological phases of matter are closely related to Topological Quantum Field Theory. We use this connection to classify Symmetry Protected Topological phases in low dimensions, including the case when the symmetry involves time-reversal. To accomplish this, we generalize Turaev's description of equivariant TQFT to the unoriented case. We show that invertible unoriented equivariant TQFTs in one or fewer spatial dimensions are classified by twisted group cohomology, in agreement with the proposal of Chen, Gu, Liu and Wen. We also show that invertible oriented equivariant TQFTs in spatial dimension two or fewer are classified by ordinary group cohomology.

Additional Information

© 2017 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: December 5, 2016; Accepted: February 14, 2017; Published: March 1, 2017. A.K. would like to thank V. Ostrik for helpful discussions. The work of A.K. was supported by the Simons Foundation. The work of A.T. was supported in part by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632.

Attached Files

Published - art_3A10.1007_2FJHEP03_282017_29006.pdf

Submitted - 1504.01830.pdf

Files

art_3A10.1007_2FJHEP03_282017_29006.pdf
Files (566.0 kB)
Name Size Download all
md5:fbf1600f2ef12ca302bc04c38646e4b1
350.3 kB Preview Download
md5:0ede752a0b08609bfc5156d9000248c2
215.7 kB Preview Download

Additional details

Created:
August 22, 2023
Modified:
October 18, 2023