\(W_{1+\infty}\) minimal models and the hierarchy of the quantum Hall effect

DOI10.1016/0920-5632(95)00620-6zbMath0989.82522OpenAlexW4249037285MaRDI QIDQ5927047

Carlo A. Trugenberger, Andrea Cappelli, Guillermo Raúl Zemba

Publication date: 8 March 2001

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

Full work available at URL: https://doi.org/10.1016/0920-5632(95)00620-6

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Statistical mechanics of superfluids (82D50) Many-body theory; quantum Hall effect (81V70)

Related Items (6)

Multipole expansion in the quantum Hall effect ⋮ Chiral partition functions of quantum Hall droplets ⋮ Modular invariant partition functions in the quantum Hall effect ⋮ \(U(1)^m\) modular invariants, \(N=2\) minimal models, and the quantum Hall effect ⋮ Hamiltonian formulation of the \(W_{1+\infty}\) minimal models ⋮ Thermal transport in chiral conformal theories and hierarchical quantum Hall states

Cites Work

• Infinite conformal symmetry in two-dimensional quantum field theory
• \(W_{1+\infty}\) dynamics of edge excitations in the quantum Hall effect
• Stable hierarchical quantum Hall fluids as \(W_{1+\infty}\) minimal models
• Structuring the set of incompressible quantum Hall fluids

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