Symmetry Aspects and Finite-Size Scaling of Quantum Hall Fluids

Abstract

The exactness and universality observed in the quantum Hall effect suggests the existence of a symmetry principle underlying Laughlin's theory. We review the role played by the infinite $W_{\infty }$ and conformal algebras as dynamical symmetries of incompressible quantum fluids and show how they predict universal finite-size effects in the excitation spectrum.

15 pages, CERN-TH-6784/93, LateX file

Cited by in corpus (8)

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• Edge excitations of the Chern Simons matrix theory for the FQHE
• Matrix Effective Theories of the Fractional Quantum Hall effect
• Twisted Conformal Field Theories and Morita equivalence