Edge states for quantum Hall droplets in higher dimensions and a generalized WZW model

DOI10.1016/j.nuclphysb.2004.07.014zbMath1236.81171arXivhep-th/0403111OpenAlexW1981168652MaRDI QIDQ874228

Dimitra Karabali, V. Parameswaran Nair

Publication date: 5 April 2007

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

Full work available at URL: https://arxiv.org/abs/hep-th/0403111

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Many-body theory; quantum Hall effect (81V70)

Related Items

ELECTROMAGNETIC EXCITATIONS OF HALL SYSTEMS ON FOUR-DIMENSIONAL SPACE, ADHM and the 4d quantum Hall effect, 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, 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, The fermion density operator in the droplet bosonization picture, A note on the Hamiltonian structure of transgression forms, SYMPLECTIC DEFORMATIONS, NONCOMMUTATIVE SCALAR FIELDS AND FRACTIONAL QUANTUM HALL EFFECT, QUANTUM HALL EFFECT ON THE FLAG MANIFOLD F₂, Matrix oscillator and Laughlin Hall states, ELECTROMAGNETIC EXCITATIONS OF A_n QUANTUM HALL DROPLETS, Fractional quantum Hall effect for extended objects: from skyrmionic membranes to dyonic strings

Cites Work

• Quantum Hall effect in higher dimensions
• Non-Abelian bosonization in two dimensions
• Some comments on Chern-Simons gauge theory
• The effective action for edge states in higher-dimensional quantum Hall systems
• Quantum Hall effect on \(S^3\), edge states and fuzzy \(S^3/Z_2\)
• Gravitational fields on a noncommutative space
• Higher-Dimensional WZW Model on Kähler Manifold and Toroidal Lie Algebra