Fusion structure from exchange symmetry in (2+1)-dimensions

DOI10.1016/j.aop.2021.168471zbMath1464.81060arXiv2004.06282OpenAlexW3159085887MaRDI QIDQ2037420

Sachin J. Valera

Publication date: 1 July 2021

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.06282

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Vertex operators; vertex operator algebras and related structures (17B69) Applications of Lie (super)algebras to physics, etc. (17B81) Many-body theory; quantum Hall effect (81V70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Anyons (81V27)

Related Items

Anyonic topological order in twisted equivariant differential (TED) K-theory

Cites Work

• Anyons in an exactly solved model and beyond
• On classification of modular tensor categories
• The permutoassociahedron, Mac Lane's coherence theorem and asymptotic zones for the KZ equation
• A modular functor which is universal for quantum computation
• Fault-tolerant quantum computation by anyons
• On fusion categories.
• On Braided and Ribbon Unitary Fusion Categories
• Classification of rank 5 premodular categories
• On Classification of Modular Categories by Rank: Table A.1
• Beyond anyons
• Mathematics of topological quantum computing
• Unnamed Item