(2013). A K matrix construction of symmetry enriched phases. Perimeter Institute for Theoretical Physics. https://pirsa.org/13020140
MLA
A K matrix construction of symmetry enriched phases. Perimeter Institute for Theoretical Physics, Feb. 20, 2013, https://pirsa.org/13020140
BibTex
@misc{ scivideos_PIRSA:13020140,
doi = {10.48660/13020140},
url = {https://pirsa.org/13020140},
author = {},
keywords = {Quantum Matter},
language = {en},
title = {A K matrix construction of symmetry enriched phases},
publisher = {Perimeter Institute for Theoretical Physics},
year = {2013},
month = {feb},
note = {PIRSA:13020140 see, \url{https://scivideos.org/index.php/pirsa/13020140}}
}
We construct in the K matrix formalism concrete examples
of symmetry enriched topological phases, namely intrinsically topological
phases with global symmetries. We focus on the Abelian and non-chiral
topological phases and demonstrate by our examples how the interplay between
the global symmetry and the fusion algebra of the anyons of a topologically
ordered system determines the existence of gapless edge modes protected by the
symmetry and that a (quasi)-group structure can be defined among these phases.
Our examples include phases that display charge fractionalization and more
exotic non-local anyon exchange under global symmetry that correspond to
general group extensions of the global symmetry group.