$W_{\infty}$ Algebras and Incompressibility in the Quantum Hall Effect

Details $W_{\infty}$ Algebras and Incompressibility in the Quantum Hall Effect $W_{\infty}$ Algebras and Incompressibility in the Quantum Hall Effect

1994-11-11

arxiv.org/abs/hep-th/9411082v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, plainTEX, talk presented in Mt. Sorak Summer School, Korea, June 1994 and XXth Int. Colloquium on Group Theor. Method

Scientific paper

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.

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