Modular invariants in the fractional quantum Hall effect.

DOI10.1016/S0550-3213(98)00598-7zbMath1078.81596arXivcond-mat/9702039MaRDI QIDQ1570669

Kazusumi Ino

Publication date: 11 July 2000

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9702039

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Many-body theory; quantum Hall effect (81V70) Miscellaneous applications of number theory (11Z05)

Related Items

Anyonic topological order in twisted equivariant differential (TED) K-theory, AN ALGEBRAIC APPROACH TO LOGARITHMIC CONFORMAL FIELD THEORY, LOGARITHMIC CONFORMAL FIELD THEORY WITH BOUNDARY

Cites Work

• Modular invariant partition functions in the quantum Hall effect
• \(U(1)^m\) modular invariants, \(N=2\) minimal models, and the quantum Hall effect
• Fusion rules and modular transformations in 2D conformal field theory
• The Haldane-Rezayi quantum Hall state and conformal field theory
• Many-body systems with nonabelian statistics
• \(2n\)-quasihole states realize \(2^{n-1}\)-dimensional spinor braiding statistics in paired quantum Hall states
• Chiral operator product algebra and edge excitations of a fractional quantum Hall droplet
• FUSION AND TENSORING OF CONFORMAL FIELD THEORY AND COMPOSITE FERMION PICTURE OF FRACTIONAL QUANTUM HALL EFFECT
• Spinons as Composite Fermions
• ON MODULAR INVARIANT PARTITION FUNCTIONS OF CONFORMAL FIELD THEORIES WITH LOGARITHMIC OPERATORS