A concrete lattice construction of twist defects realizes anyon-permuting symmetries and non-Abelian fusion in double toric code topological order.
Models for gapped boundaries and domain walls.Communica- tions in Mathematical Physics, 313(2):351–373, 2012
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Lattice Realization of Twist Defects in a $\mathbb{Z}_2\times \mathbb{Z}_2$ Topological Order
A concrete lattice construction of twist defects realizes anyon-permuting symmetries and non-Abelian fusion in double toric code topological order.