A lattice model for condensation in Levin-Wen systems
- Resource Type
- article
- Authors
- Jessica Christian; David Green; Peter Huston; David Penneys
- Source
- Journal of High Energy Physics, Vol 2023, Iss 9, Pp 1-56 (2023)
- Subject
- Anyons
Topological States of Matter
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
- Language
- English
- ISSN
- 1029-8479
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.