A lattice model for condensation in Levin-Wen systems
- URL: http://arxiv.org/abs/2303.04711v1
- Date: Wed, 8 Mar 2023 16:50:42 GMT
- Title: A lattice model for condensation in Levin-Wen systems
- Authors: Jessica Christian, David Green, Peter Huston, David Penneys
- Abstract summary: 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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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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