Fractional Hall conductivity and spin-c structure in solvable lattice Hamiltonians

DOI10.1007/jhep02(2023)130arXiv2208.13785MaRDI QIDQ6041727

Jing-Yuan Chen, Zhaoyu Han

Publication date: 12 May 2023

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.13785

zbMATH Keywords

Chern-Simons theorieslattice integrable modelstopological states of matter

Mathematics Subject Classification ID

Quantum theory (81-XX)

Cites Work

• Models for gapped boundaries and domain walls
• Topological boundary conditions in abelian Chern-Simons theory
• Higher gauge theory and a non-abelian generalization of 2-form electrodynamics.
• State sum constructions of spin-TFTs and string net constructions of fermionic phases of matter
• Gapless edges of 2d topological orders and enriched monoidal categories
• Generalized global symmetries
• Fault-tolerant quantum computation by anyons
• A mathematical theory of gapless edges of 2d topological orders. I
• Abelian topological order on lattice enriched with electromagnetic background
• A mathematical theory of gapless edges of 2d topological orders. II.
• Local commuting projector Hamiltonians and the quantum Hall effect
• Gapped boundary phases of topological insulators via weak coupling
• Spin TQFTs and fermionic phases of matter

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