Modular Extensions of Unitary Braided Fusion Categories and 2+1D Topological/SPT Orders with Symmetries

A finite bosonic or fermionic symmetry can be described uniquely by a symmetric fusion category E. In this work, we propose that 2+1D topological/SPT orders with a fixed finite symmetry E are classified, up to E8 quantum Hall states, by the unitary modular tensor categories C over E and the modular...

Full description

Bibliographic Details
Main Authors: Lan, Tian, Kong, Liang, Wen, Xiao-Gang
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2017
Online Access:http://hdl.handle.net/1721.1/110209
https://orcid.org/0000-0002-5874-581X