Integral quadratic forms, Kac-Moody algebras, and fractional quantum Hall effect. An \(ADE-{\mathcal O}\) classification

DOI10.1007/BF02188661zbMath0839.76101MaRDI QIDQ1906357

Emmanuel Thiran, Jürg Fröhlich

Publication date: 1994

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

integral latticeslow-energy excitationsabelian Chern-Simons theoryincompressible quantum Hall fluid

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Many-body theory; quantum Hall effect (81V70) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

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