Topological order in quantum Hall effect and two-dimensional conformal field theory

DOI10.1016/0920-5632(93)90377-IzbMath0991.81578MaRDI QIDQ5927008

F. Nicodemi, Giuseppe Maiella, Gerardo Cristofano, R. Musto

Publication date: 8 March 2001

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

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) 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) Statistical mechanics of solids (82D20)

Related Items (9)

A CFT DESCRIPTION OF THE BTZ BLACK HOLE: TOPOLOGY VERSUS GEOMETRY (OR THERMODYNAMICS VERSUS STATISTICAL MECHANICS) ⋮ Paired quantum Hall states on noncommutative two-tori ⋮ Fully frustrated Josephson junction ladders with Möbius boundary conditions as topologically protected qubits ⋮ Topologically protected qubits as minimal Josephson junction arrays with non-trivial boundary conditions: a proposal ⋮ Modular invariant partition functions in the quantum Hall effect ⋮ The global phase diagram of a modular invariant two-dimensional statistical model ⋮ Paired states on a torus ⋮ Twisted conformal field theories and Morita equivalence ⋮ Modified real structures for quantum groups and applications

Cites Work

• Unnamed Item
• \(c=I\) conformal field theories on Riemann surfaces
• Quantum field theory and the Jones polynomial
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models
• VERTEX OPERATORS IN THE FRACTIONAL QUANTUM HALL EFFECT
• THE QUANTUM HALL EFFECT AT ARBITRARY RATIONAL FILLING: A PROPOSAL
• Gauge invariance of fractionally charged quasiparticles and hidden topological<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">Z</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">n</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>symmetry

This page was built for publication: Topological order in quantum Hall effect and two-dimensional conformal field theory