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A lattice model for condensation in Levin-Wen systems
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Levin-Wen string-net models provide a construction of (2+1)D topologically ordered phases of matter with anyonic localized excitations described by the {Drinfeld} center of a unitary fusion category. Anyon condensation is a mechanism for phase transitions between (2+1)D topologically ordered phases. We construct an extension of Levin-Wen models in which tuning a parameter implements anyon condensation. We also describe the classification of anyons in Levin-Wen models via representation theory of the tube algebra, and use a variant of the tube algebra to classify low-energy localized excitations in the condensed phase.
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Cited by 1 Pith paper
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Generalized comodule tube algebras for boundary and domain wall defects of (2+1)D topological order
Codimension-2 defects in 2+1D topological order are classified by representations of new comodule tube algebras over the weak Hopf tube algebras of boundary and domain wall excitations.
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