Symmetry Aspects and Finite-Size Scaling of Quantum Hall Fluids

Details Symmetry Aspects and Finite-Size Scaling of Quantum Hall Fluids Symmetry Aspects and Finite-Size Scaling of Quantum Hall Fluids

1993-01-27

arxiv.org/abs/hep-th/9301115v1

Nucl.Phys.Proc.Suppl. 33C (1993) 21-34

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0920-5632(93)90369-H

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.

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