Spin-Hall effect with quantum group symmetries

DOI10.1007/s11005-005-0040-8zbMath1101.81107arXivhep-th/0504092OpenAlexW1978657879MaRDI QIDQ2433141

Giovanni Landi

Publication date: 27 October 2006

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0504092

zbMATH Keywords

quantum groupsnoncommutative gauge theoriesnoncommutative instantonshigher-dimensional Hall effectsinteger and fractional exitations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Mills and other gauge theories in quantum field theory (81T13) Many-body theory; quantum Hall effect (81V70) Noncommutative geometry (à la Connes) (58B34)

Related Items (4)

Gauged Laplacians on quantum Hopf bundles ⋮ Noncommutative instantons from twisted conformal symmetries ⋮ Braided Hopf algebras and gauge transformations. II: \(\ast\)-structures and examples ⋮ Examples of gauged Laplacians on noncommutative spaces

Cites Work

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• Dimensional hierarchy in quantum Hall effects on fuzzy spheres
• Gravity coupled with matter and the foundation of non-commutative geometry
• Quantum Hall effect in higher dimensions
• Principal fibrations from noncommutative spheres
• Noncommutative finite-dimensional manifolds. I: Spherical manifolds and related examples
• Noncommutative instantons from twisted conformal symmetries
• The noncommutative geometry of the quantum Hall effect
• Geometric construction of the quantum Hall effect in all even dimensions
• Twists and spectral triples for isospectral deformations
• Noncommutative manifolds, the instanton algebra and isospectral deformations
• Quantum symmetry groups of noncommutative spheres

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