Clustering properties, Jack polynomials and unitary conformal field theories

DOI10.1016/j.nuclphysb.2009.09.002zbMath1196.81294arXiv0904.3702OpenAlexW2082833616MaRDI QIDQ1960164

Nicolas Regnault, Benoit Estienne, Raoul Santachiara

Publication date: 12 October 2010

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

Full work available at URL: https://arxiv.org/abs/0904.3702

zbMATH Keywords

non-Abelian fractionalRead-Rezayi states parafermionic theory

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Other elementary particle theory in quantum theory (81V25) Applications of Lie groups to the sciences; explicit representations (22E70) Many-body theory; quantum Hall effect (81V70)

Related Items (5)

Jack polynomial fractional quantum Hall states and their generalizations ⋮ Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory ⋮ Spin-singlet quantum Hall states and Jack polynomials with a prescribed symmetry ⋮ \(\mathbb{Z}_k^{(r)}\)-algebras, FQH ground states, and invariants of binary forms ⋮ Quantum Hall ground states and regular graphs

Cites Work

• Unnamed Item
• Conformal field theories with \(Z_{N}\) and Lie algebra symmetries
• The third parafermionic chiral algebra with the symmetry \(Z_3\)
• The \(Z^{(\mathrm{su}(2),3/2)}_k\) parafermions
• Conformal field theory
• A quasi-particle description of the \(\mathcal M(3,p)\) models
• Non-Abelian anyons and topological quantum computation
• Correlators ofN= 1 superconformal currents

This page was built for publication: Clustering properties, Jack polynomials and unitary conformal field theories