Quantum Hall effect on higher-dimensional spaces

DOI10.1016/j.nuclphysb.2005.07.034zbMath1178.81304arXivhep-th/0505095OpenAlexW2015154603MaRDI QIDQ876190

Ahmed Jellal

Publication date: 16 April 2007

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0505095

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70)

Related Items (12)

Topological many-body states in quantum antiferromagnets via fuzzy supergeometry ⋮ Hamiltonians for the quantum Hall effect on spaces with non-constant metrics ⋮ \(\operatorname{SO}(4)\) Landau models and matrix geometry ⋮ Bosonization of the lowest Landau level in arbitrary dimensions: edge and bulk dynamics ⋮ The matrix Chern-Simons one-form as a universal Chern-Simons theory ⋮ The Chern-Simons one-form and gravity on a fuzzy space ⋮ Effective Wess-Zumino-Witten action for edge states of quantum Hall systems on Bergman ball ⋮ THERMODYNAMICAL PROPERTIES OF HALL SYSTEMS ⋮ QUANTUM HALL DROPLETS ON DISC AND EFFECTIVE WESS–ZUMINO–WITTEN ACTION FOR EDGE STATES ⋮ QUANTUM HALL EFFECT ON THE FLAG MANIFOLD F₂ ⋮ REPRESENTATIONS AND PROPERTIES OF GENERALIZED A_r STATISTICS ⋮ The Laplacian on homogeneous spaces

Cites Work

• Quantum mechanics and quantum Hall effect on Riemann surfaces
• Irreducible unitary representations of the Lorentz group
• Asymptotic of complex hyperbolic geometry and L2-spectral analysis of Landau-like Hamiltonians
• Spherical Harmonic Expansion of the Poisson-Szego Kernel for the Ball
• Selberg trace formulae for heat and wave kernels of Maass Laplacians on compact forms of the complex hyperbolic space \(H^n(\mathbb C)\), \(n\geq 2\)
• Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I
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