ELECTROMAGNETIC EXCITATIONS OF An QUANTUM HALL DROPLETS

DOI10.1142/S0217751X10049724zbMath1194.81325arXiv1009.5064OpenAlexW3123277555MaRDI QIDQ3590699

Abdellah Oueld Guejdi, Ahmed Jellal, Mohammed Daoud

Publication date: 13 September 2010

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5064

zbMATH Keywords

matrix modelsWZW actionsymplectic deformation\(A_{n}\) statistics

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Many-body theory; quantum Hall effect (81V70) Geometry and quantization, symplectic methods (81S10) Deformations of general structures on manifolds (58H15)

Cites Work

• Quantum Hall effect in higher dimensions
• Edge states for quantum Hall droplets in higher dimensions and a generalized WZW model
• Chiral actions from phase space (quantum Hall) droplets
• Kac--Moody theories for colored phase space (quantum Hall) droplets
• Electromagnetic interactions of higher-dimensional quantum Hall droplets
• 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
• Effective Wess-Zumino-Witten action for edge states of quantum Hall systems on Bergman ball
• The effective action for edge states in higher-dimensional quantum Hall systems
• Quantum Hall effect on \(S^3\), edge states and fuzzy \(S^3/Z_2\)
• Non-commutative algebra of functions of 4-dimensional quantum Hall droplet
• Fermi-Bose Similarity
• A classification of generalized quantum statistics associated with classical Lie algebras
• Representations and properties of generalizedA_rstatistics, coherent states and Robertson uncertainty relations
• Quantum Hall effect in higher dimensions, matrix models and fuzzy geometry
• Classification of generalized quantum statistics associated with the exceptional Lie (super)algebras
• Chiral bosons on Bargmann space associated with A_rstatistics
• QUANTUM HALL DROPLETS ON DISC AND EFFECTIVE WESS–ZUMINO–WITTEN ACTION FOR EDGE STATES
• QUANTUM HALL EFFECT ON THE FLAG MANIFOLD F₂
• Geometric construction of the quantum Hall effect in all even dimensions
• Jacobson generators, Fock representations and statistics of sl(n+1)
• Lie and Jordan Triple Systems
• A Generalized Method of Field Quantization
• A generalization of field quantization and statistics
• Noncommutative gauge theory for Poisson manifolds
• Construction of non-Abelian gauge theories on noncommutative spaces

This page was built for publication: ELECTROMAGNETIC EXCITATIONS OF A_n QUANTUM HALL DROPLETS