Modified toric code models with flux attachment from Hopf algebra gauge theory

DOI10.1088/1751-8121/acdf9azbMath1528.70033arXiv2210.07909OpenAlexW4381193457MaRDI QIDQ6110049

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Publication date: 4 July 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.07909

zbMATH Keywords

R-matrixfinite gauge groupfinite-dimensional semisimple Hopf algebratopological lattice model

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Cites Work

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• Anyons in discrete gauge theories with Chern-Simons terms
• A character theory for projective representations of finite groups.
• Kitaev lattice models as a Hopf algebra gauge theory
• The quantum double model with boundary: condensations and symmetries
• Anyons in an exactly solved model and beyond
• Fault-tolerant quantum computation by anyons
• Introduction to Topological Quantum Computation
• The braided Heisenberg group
• Qudit surface codes and gauge theory with finite cyclic groups
• PROJECTIVE GROUP ALGEBRAS
• Hopf algebra gauge theory on a ribbon graph
• A hierarchy of topological tensor network states

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