Non-Abelian string and particle braiding in topological order: Modular SL(3,Z) representation and (3 + 1)-dimensional twisted gauge theory

String and particle braiding statistics are examined in a class of topological orders described by discrete gauge theories with a gauge group G and a 4-cocycle twist ω[subscript 4] of G's cohomology group H[superscript 4](G,R/Z) in three-dimensional space and one-dimensional time (3 + 1D). We e...

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Bibliographic Details
Main Authors: Wen, Xiao-Gang, Wang, Juven
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:English
Published: American Physical Society 2015
Online Access:http://hdl.handle.net/1721.1/93231
https://orcid.org/0000-0001-5742-3395
https://orcid.org/0000-0002-5874-581X