Designer non-Abelian fractons from topological layers
- URL: http://arxiv.org/abs/2004.07251v1
- Date: Wed, 15 Apr 2020 18:00:04 GMT
- Title: Designer non-Abelian fractons from topological layers
- Authors: Dominic J. Williamson, Meng Cheng
- Abstract summary: We formulate a construction of type-I fracton models based on gauging planar subsystem symmetries of topologically ordered layers.
We find a lineon model supporting non-Abelian surface fractons on its boundary.
- Score: 3.2235261057020606
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We formulate a construction of type-I fracton models based on gauging planar
subsystem symmetries of topologically ordered two dimensional layers that have
been stacked in three ambient spatial dimensions. Via our construction, any
defect of an Abelian symmetry group in a two dimensional symmetry-enriched
topological order can be promoted into a fracton. This allows us to construct
fracton models supporting chiral boundaries and fractons of noninteger quantum
dimension. We also find a lineon model supporting non-Abelian surface fractons
on its boundary.
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