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arXiv · hep-th/9301115

Symmetry Aspects and Finite-Size Scaling of Quantum Hall Fluids

A. Cappelli·G. V. Dunne·C. A. Trugenberger·G. R. Zemba
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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.

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A. Cappelli, G. V. Dunne, C. A. Trugenberger, G. R. Zemba. 1993-01-27. Symmetry Aspects and Finite-Size Scaling of Quantum Hall Fluids. https://doi.org/10.1016/0920-5632(93)90369-h

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