Non-commutative geometry in higher dimensional quantum hall effect as A-class topological insulator

DOI10.1002/prop.201400022zbMath1338.81429arXiv1408.0564OpenAlexW2949842571MaRDI QIDQ2812669

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Publication date: 17 June 2016

Published in: Fortschritte der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.0564

zbMATH Keywords

quantum Hall effectmonopoletopological insulatorquantum Nambu geometry

Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of solids (82D20)

Cites Work

• General concept of quantization
• Dimensional hierarchy in quantum Hall effects on fuzzy spheres
• Quantum Hall effect in higher dimensions
• Solutions to Yang-Mills field equations in eight dimensions and the last Hopf map
• Spherical membranes in M(atrix) theory
• On finite 4D quantum field theory in non-commutative geometry
• Noncommutative gauge theory on fuzzy four-sphere and matrix model
• N-dimensional instantons and monopoles
• The fuzzy sphere
• Generalized Hamiltonian Dynamics
• Quantized Nambu–Poisson manifolds and n-Lie algebras
• On spherical harmonics for fuzzy spheres in diverse dimensions
• Higher-dimensional geometries from matrix brane constructions

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