$W_{\infty}$ Algebras and Incompressibility in the Quantum Hall Effect
High Energy Physics - Theory
2007-05-23 v1 Condensed Matter
Abstract
We discuss how a large class of incompressible quantum Hall states can be characterized as highest weight states of different representations of the \Winf algebra. Second quantized expressions of the \Winf generators are explicitly derived in the cases of multilayer Hall states, the states proposed by Jain to explain the hierarchical filling fractions and the ones related by particle-hole conjugation.
Keywords
Cite
@article{arxiv.hep-th/9411082,
title = {$W_{\infty}$ Algebras and Incompressibility in the Quantum Hall Effect},
author = {Dimitra Karabali},
journal= {arXiv preprint arXiv:hep-th/9411082},
year = {2007}
}
Comments
7 pages, plainTEX, talk presented in Mt. Sorak Summer School, Korea, June 1994 and XXth Int. Colloquium on Group Theor. Methods in Physics, Osaka, Japan, July 1994