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- A K matrix construction of symmetry enriched phases

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.

Event Type:

Seminar

Collection/Series:

Scientific Area(s):

Speaker(s):

Event Date:

Wednesday, February 20, 2013 - 10:30 to 12:00

Location:

Bob Room

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