Towards a field theory of the plateau transitions in the integer quantum Hall effect

DOI10.1016/S0550-3213(00)00276-5zbMath0984.81194arXivcond-mat/9912060OpenAlexW2089729930MaRDI QIDQ5934905

Oleg A. Soloviev, Alexei M. Tsvelik, Miraculous J. Bhaseen, Nobuhiko Taniguchi, Ian I. Kogan

Publication date: 14 May 2001

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9912060

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) Many-body theory; quantum Hall effect (81V70)

Related Items

Spectral flow and conformal blocks in \(\mathrm{AdS}_{3}\), SU(2)₀ AND OSp(2|2)_-2 WZNW MODELS: TWO CURRENT ALGEBRAS, ONE LOGARITHMIC CFT, The \(\text{GL}(1| 1)\) WZW-model: from supergeometry to logarithmic CFT, On truncations of the Chalker-Coddington model, Extended multiplet structure in logarithmic conformal field theories, Winding modes and the reflection symmetry in \(\mathrm{AdS}_3\), Supergroup-extended super Liouville correspondence, Gaussian free fields at the integer quantum Hall plateau transition, Branes in the \(\text{GL}(1| 1)\) WZNW model, Free field approach to string theory on \(\text{AdS}_3\), Monodromy of solutions of the Knizhnik-Zamolodchikov equation: SL\((2,\mathbb{C})\)/SU(2) WZNW model, Legendre's relation and the quantum equivalence osp\((4|4)_1 = \text{osp}(2|2)_{-2} \oplus su(2)_0\), Crossing symmetry in the \(H_3^+\) WZNW model, Disordered Dirac fermions: the marriage of three different approaches, Renormalization group for network models of quantum Hall transitions, FLAT CURRENTS OF A GREEN–SCHWARZ SIGMA MODEL ON SUPERCOSET TARGETS WITH ℤ_4m GRADING, Analytic bootstrap for logarithmic CFT, THE SU(2)₀ WZNW MODEL, STRESS ENERGY TENSOR IN LCFT AND LOGARITHMIC SUGAWARA CONSTRUCTION, Generalized multifractality at spin quantum Hall transition, The BaxterQ-operator for the gradedSL(2|1) spin chain

Cites Work

• Unnamed Item
• Conformal field theory
• Virasoro algebras and coset space models
• Reformulation of general relativity as a gauge theory
• Supersymmetry and localization in the quantum Hall effect
• Electric-magnetic duality in supersymmetric non-abelian gauge theories
• \(\text{gl}(N,N)\) current algebras and topological field theories
• Supersymmetry in Disorder and Chaos
• KNIZHNIK–ZAMOLODCHIKOV-TYPE EQUATIONS FOR GAUGED WZNW MODELS
• Spatial structure of anomalously localized states in disordered conductors