NON-ABELIAN FRACTIONAL QUANTUM HALL STATES AND CHIRAL COSET CONFORMAL FIELD THEORIES

DOI10.1142/S0217751X00002354zbMath1002.81057arXivcond-mat/9905192WikidataQ60432867 ScholiaQ60432867MaRDI QIDQ4528654

Eduardo Fradkin, G. L. Rossini, Daniel C. Cabra, Fidel Arturo Schaposnik

Publication date: 11 February 2001

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9905192

zbMATH Keywords

fractional quantum Hall effecteffective LagrangianChern-Simons actionslow energy theory of the Pfaffian states

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (2)

Effective theories for 2+1 dimensional non-abelian topological spin liquids ⋮ Effective Chern-Simons theories of Pfaffian and parafermionic quantum Hall states, and orbifold conformal field theories

Cites Work

• Virasoro algebras and coset space models
• Quantum field theory and the Jones polynomial
• On holomorphic factorization of WZW and coset models
• A Chern-Simons effective field theory for the Pfaffian quantum Hall state
• Hamiltonian formulation of the \(W_{1+\infty}\) minimal models
• Landau-Ginzburg theories for non-abelian quantum Hall states
• Paired Hall states
• A unified conformal field theory description of paired quantum Hall states
• \(2n\)-quasihole states realize \(2^{n-1}\)-dimensional spinor braiding statistics in paired quantum Hall states
• Duality in deformed coset fermionic models

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