$\bm{\widehat{{\rm U}(1)}\times\widehat{{\rm SU}({\lc m})}_{1}}$ THEORY AND c=m W1+∞ MINIMAL MODELS IN THE HIERARCHICAL QUANTUM HALL EFFECT

DOI10.1142/S0217751X00000458zbMath0963.81065arXivhep-th/9902026MaRDI QIDQ4951678

Marina Huerta

Publication date: 8 July 2001

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9902026

zbMATH Keywords

renormalization group flowconformal field theoriesmulticomponent bosonic theorysymmetry \(\widehat{U(1)} \times\widehat {SU(m)}_1\)

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Renormalization group methods applied to problems in quantum field theory (81T17) Many-body theory; quantum Hall effect (81V70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (3)

Chiral partition functions of quantum Hall droplets ⋮ Effective Chern-Simons theories of Pfaffian and parafermionic quantum Hall states, and orbifold conformal field theories ⋮ Thermal transport in chiral conformal theories and hierarchical quantum Hall states

Cites Work

• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• Stable hierarchical quantum Hall fluids as \(W_{1+\infty}\) minimal models

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