Symmetry aspects and finite-size scaling of quantum Hall fluids

A. CAPPELLI, C. A TRUGENBERGER , G. R. ZEMBA

Chia Laguna, Italia

Conferencia; Common Trends in Condensed Matter and High Energy Physics III; 1992

CERN

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∞ and conformal algebras as dynamical symmetries of incompressible quantum fluids and show how they predict universal finite-size effects in the excitation spectrum.