Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference52 articles.
1. D. Aasen, E. Lake and K. Walker, Fermion condensation and super pivotal categories, J. Math. Phys. 60 (2019) 121901 [arXiv:1709.01941] [INSPIRE].
2. A. Davydov and T. Booker, Commutative Algebras in Fibonacci Categories, arXiv:1103.3537 [INSPIRE].
3. A. Bullivant and C. Delcamp, Tube algebras, excitations statistics and compactification in gauge models of topological phases, JHEP 10 (2019) 216 [arXiv:1905.08673] [INSPIRE].
4. C.-H. Lin and F.J. Burnell, Anyon condensation in the string-net models, arXiv:2303.07291 [INSPIRE].
5. N. Bultinck et al., Anyons and matrix product operator algebras, Annals Phys. 378 (2017) 183 [arXiv:1511.08090] [INSPIRE].
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献